Atkin-Lehner |
2- 3- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
37620o |
Isogeny class |
Conductor |
37620 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
71424 |
Modular degree for the optimal curve |
Δ |
-1828332000000 = -1 · 28 · 37 · 56 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- 3 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4152,-121804] |
[a1,a2,a3,a4,a6] |
j |
-42415857664/9796875 |
j-invariant |
L |
3.5252810789713 |
L(r)(E,1)/r! |
Ω |
0.29377342324612 |
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 |
12540b1 |
Quadratic twists by: -3 |