Atkin-Lehner |
2- 5+ 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
121360p |
Isogeny class |
Conductor |
121360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
21370726472744960 = 236 · 5 · 37 · 412 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 4 6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-81816,-5654636] |
[a1,a2,a3,a4,a6] |
Generators |
[9165:65026:27] |
Generators of the group modulo torsion |
j |
14787126942253849/5217462517760 |
j-invariant |
L |
3.7969269112754 |
L(r)(E,1)/r! |
Ω |
0.29049089655391 |
Real period |
R |
6.5353630842412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998630003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15170a1 |
Quadratic twists by: -4 |