Atkin-Lehner |
2+ 3- 5+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115050z |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
11531520 |
Modular degree for the optimal curve |
Δ |
8.0726925870703E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -3 13- 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-29342651,61022900198] |
[a1,a2,a3,a4,a6] |
Generators |
[972:182326:1] |
Generators of the group modulo torsion |
j |
178814078676463168126369/516652325572500000 |
j-invariant |
L |
5.4322082838633 |
L(r)(E,1)/r! |
Ω |
0.13167700371717 |
Real period |
R |
0.26444897015728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999848029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23010j1 |
Quadratic twists by: 5 |