Atkin-Lehner |
2+ 3+ 7+ 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
37506b |
Isogeny class |
Conductor |
37506 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-13160555352 = -1 · 23 · 36 · 7 · 193 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 1 5 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-59,-5547] |
[a1,a2,a3,a4,a6] |
j |
-23320116793/13160555352 |
j-invariant |
L |
1.1328552570455 |
L(r)(E,1)/r! |
Ω |
0.56642762851769 |
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 |
112518ba1 |
Quadratic twists by: -3 |