Atkin-Lehner |
2- 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600hm |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
315392 |
Modular degree for the optimal curve |
Δ |
-93522138624000 = -1 · 212 · 37 · 53 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 6 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10727,-186983] |
[a1,a2,a3,a4,a6] |
j |
266592609856/182660427 |
j-invariant |
L |
2.7256594785499 |
L(r)(E,1)/r! |
Ω |
0.34070743377939 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600jt1 40800bd1 81600jh1 |
Quadratic twists by: -4 8 5 |