Atkin-Lehner |
2+ 3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
19530c |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
243200 |
Modular degree for the optimal curve |
Δ |
581212800000 = 210 · 33 · 55 · 7 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1313835,579969925] |
[a1,a2,a3,a4,a6] |
j |
9289292010549045279147/21526400000 |
j-invariant |
L |
1.2025328652033 |
L(r)(E,1)/r! |
Ω |
0.60126643260167 |
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 |
19530bm1 97650ch1 |
Quadratic twists by: -3 5 |