Atkin-Lehner |
2+ 3- 5+ 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
37230m |
Isogeny class |
Conductor |
37230 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
9584640 |
Modular degree for the optimal curve |
Δ |
-2.28999403125E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -3 1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-354954564,2574992317762] |
[a1,a2,a3,a4,a6] |
j |
-4945862113878677559666277374649/2289994031250000000000000 |
j-invariant |
L |
1.6148284098043 |
L(r)(E,1)/r! |
Ω |
0.080741420491663 |
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 |
111690bv1 |
Quadratic twists by: -3 |