Atkin-Lehner |
2- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
64400cj |
Isogeny class |
Conductor |
64400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
-216090542080000 = -1 · 231 · 54 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 4 1 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14725,-164950] |
[a1,a2,a3,a4,a6] |
Generators |
[240643:3651266:2197] |
Generators of the group modulo torsion |
j |
137927116575/84410368 |
j-invariant |
L |
6.3005868277067 |
L(r)(E,1)/r! |
Ω |
0.32487741568493 |
Real period |
R |
9.6968679929861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000172 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8050s1 64400bb1 |
Quadratic twists by: -4 5 |