Atkin-Lehner |
2- 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
115920dg |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
249217391001600 = 220 · 310 · 52 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 0 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35283,2435218] |
[a1,a2,a3,a4,a6] |
j |
1626794704081/83462400 |
j-invariant |
L |
2.1887110151778 |
L(r)(E,1)/r! |
Ω |
0.54717775811787 |
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 |
14490q1 38640cv1 |
Quadratic twists by: -4 -3 |