Atkin-Lehner |
2- 3- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
72504x |
Isogeny class |
Conductor |
72504 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
798720 |
Modular degree for the optimal curve |
Δ |
-105141037084533504 = -1 · 28 · 310 · 195 · 532 |
Discriminant |
Eigenvalues |
2- 3- 3 1 3 -4 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-215076,-41440268] |
[a1,a2,a3,a4,a6] |
j |
-5895655126494208/563384329371 |
j-invariant |
L |
4.409910348838 |
L(r)(E,1)/r! |
Ω |
0.11024775814021 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24168j1 |
Quadratic twists by: -3 |