Atkin-Lehner |
2+ 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
3762j |
Isogeny class |
Conductor |
3762 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3120 |
Modular degree for the optimal curve |
Δ |
-13729554432 = -1 · 213 · 36 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 -3 11- 1 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,594,724] |
[a1,a2,a3,a4,a6] |
j |
31764658463/18833408 |
j-invariant |
L |
1.530610852602 |
L(r)(E,1)/r! |
Ω |
0.76530542630099 |
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 |
30096x1 120384t1 418b1 94050dn1 |
Quadratic twists by: -4 8 -3 5 |