Atkin-Lehner |
2- 5+ 17- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
87550o |
Isogeny class |
Conductor |
87550 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-461703680000000 = -1 · 215 · 57 · 17 · 1032 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 -4 5 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8938,-1084508] |
[a1,a2,a3,a4,a6] |
Generators |
[312:-5306:1] |
Generators of the group modulo torsion |
j |
-5053913144281/29549035520 |
j-invariant |
L |
11.164415830991 |
L(r)(E,1)/r! |
Ω |
0.21990719187339 |
Real period |
R |
0.42307301415387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009846 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17510g1 |
Quadratic twists by: 5 |