Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
121520bp |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1492992 |
Modular degree for the optimal curve |
Δ |
6692492541952000 = 221 · 53 · 77 · 31 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- -1 5 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-220843,39751642] |
[a1,a2,a3,a4,a6] |
Generators |
[469:6272:1] |
Generators of the group modulo torsion |
j |
2471874619761/13888000 |
j-invariant |
L |
4.1369811864685 |
L(r)(E,1)/r! |
Ω |
0.42374243301488 |
Real period |
R |
0.61018510386243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000141327 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15190ba1 17360bl1 |
Quadratic twists by: -4 -7 |