Atkin-Lehner |
2+ 3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38640l |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
844800 |
Modular degree for the optimal curve |
Δ |
939872232451998720 = 210 · 311 · 5 · 7 · 236 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 -2 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2099160,1170391680] |
[a1,a2,a3,a4,a6] |
Generators |
[2885324:-57162916:2197] |
Generators of the group modulo torsion |
j |
998988730325355742564/917843977003905 |
j-invariant |
L |
6.0847278201362 |
L(r)(E,1)/r! |
Ω |
0.27748067974025 |
Real period |
R |
10.964236908012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19320z1 115920z1 |
Quadratic twists by: -4 -3 |