Atkin-Lehner |
2+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
37312p |
Isogeny class |
Conductor |
37312 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
-15603710234816 = -1 · 26 · 11 · 536 |
Discriminant |
Eigenvalues |
2+ 1 -3 -2 11- 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33087,2313299] |
[a1,a2,a3,a4,a6] |
Generators |
[2910:2809:27] |
Generators of the group modulo torsion |
j |
-62593471440174592/243807972419 |
j-invariant |
L |
4.0393886656313 |
L(r)(E,1)/r! |
Ω |
0.70173813343938 |
Real period |
R |
0.95937702711431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37312j1 18656a1 |
Quadratic twists by: -4 8 |