Atkin-Lehner |
2+ 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37510f |
Isogeny class |
Conductor |
37510 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
-4956477625000 = -1 · 23 · 56 · 113 · 313 |
Discriminant |
Eigenvalues |
2+ 2 5- 3 11+ -6 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5117,-179131] |
[a1,a2,a3,a4,a6] |
j |
-11135879290691/3723875000 |
j-invariant |
L |
3.3303293834366 |
L(r)(E,1)/r! |
Ω |
0.27752744862344 |
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 |
37510l1 |
Quadratic twists by: -11 |