Atkin-Lehner |
2+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
37312o |
Isogeny class |
Conductor |
37312 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
-239281856 = -1 · 26 · 113 · 532 |
Discriminant |
Eigenvalues |
2+ 1 1 2 11- 6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-375,2771] |
[a1,a2,a3,a4,a6] |
Generators |
[10:11:1] |
Generators of the group modulo torsion |
j |
-91368216064/3738779 |
j-invariant |
L |
8.2364020638356 |
L(r)(E,1)/r! |
Ω |
1.7451726246046 |
Real period |
R |
0.78658905024768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37312i1 18656e1 |
Quadratic twists by: -4 8 |