Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121520cw |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-3586757721702400 = -1 · 214 · 52 · 710 · 31 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -2 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-127547,-17768086] |
[a1,a2,a3,a4,a6] |
Generators |
[4285:279488:1] |
Generators of the group modulo torsion |
j |
-476196576129/7443100 |
j-invariant |
L |
6.7410474221528 |
L(r)(E,1)/r! |
Ω |
0.12619689758103 |
Real period |
R |
6.6771128648722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999931623 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15190bb1 17360p1 |
Quadratic twists by: -4 -7 |