Atkin-Lehner |
3+ 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
37191c |
Isogeny class |
Conductor |
37191 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-1708071057 = -1 · 39 · 73 · 11 · 23 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 11- 7 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2629,50842] |
[a1,a2,a3,a4,a6] |
j |
-5862183923791/4979799 |
j-invariant |
L |
2.9664911037705 |
L(r)(E,1)/r! |
Ω |
1.4832455518877 |
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 |
111573w1 37191h1 |
Quadratic twists by: -3 -7 |