Atkin-Lehner |
2- 3- 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440ci |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
232243200 |
Modular degree for the optimal curve |
Δ |
2.3304310093315E+31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10750339816,360712749874484] |
[a1,a2,a3,a4,a6] |
Generators |
[296009195917641965447706902560859627906708815711110158990484627300096986:1428304801032132211034311177062107458547036145440371988013325119362743173120:12713503183085998693874529815581588387000505400400449325208266891] |
Generators of the group modulo torsion |
j |
33545196597577725492544401775849/5689528831375764111360000000 |
j-invariant |
L |
8.9661294248952 |
L(r)(E,1)/r! |
Ω |
0.020383754110475 |
Real period |
R |
109.96661086448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430b1 |
Quadratic twists by: -4 |