Atkin-Lehner |
3- 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
19215t |
Isogeny class |
Conductor |
19215 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2207280 |
Modular degree for the optimal curve |
Δ |
-3.1551781295816E+21 |
Discriminant |
Eigenvalues |
2 3- 5- 7+ 5 1 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-10107597,-12660392115] |
[a1,a2,a3,a4,a6] |
j |
-156653440431604480405504/4328090712731986235 |
j-invariant |
L |
6.8472302340896 |
L(r)(E,1)/r! |
Ω |
0.042266853296849 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
81 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2135b1 96075bu1 |
Quadratic twists by: -3 5 |