Atkin-Lehner |
2- 3- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
15372d |
Isogeny class |
Conductor |
15372 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
42624 |
Modular degree for the optimal curve |
Δ |
-35142605568 = -1 · 28 · 38 · 73 · 61 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 4 4 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30792,-2079740] |
[a1,a2,a3,a4,a6] |
j |
-17300948475904/188307 |
j-invariant |
L |
1.0812124832849 |
L(r)(E,1)/r! |
Ω |
0.18020208054748 |
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 |
61488bx1 5124b1 107604u1 |
Quadratic twists by: -4 -3 -7 |