Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99960i |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-115223558757350400 = -1 · 210 · 38 · 52 · 79 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-368496,87757020] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:10368:1] |
Generators of the group modulo torsion |
j |
-133918602268/2788425 |
j-invariant |
L |
4.2342882667919 |
L(r)(E,1)/r! |
Ω |
0.33249909110171 |
Real period |
R |
3.1836840837455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023594 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99960bo1 |
Quadratic twists by: -7 |