Atkin-Lehner |
2+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37696a |
Isogeny class |
Conductor |
37696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-11734614016 = -1 · 220 · 192 · 31 |
Discriminant |
Eigenvalues |
2+ 2 -2 0 4 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-769,-9471] |
[a1,a2,a3,a4,a6] |
Generators |
[169779:311820:4913] |
Generators of the group modulo torsion |
j |
-192100033/44764 |
j-invariant |
L |
7.9716605841844 |
L(r)(E,1)/r! |
Ω |
0.44772007232133 |
Real period |
R |
8.9025052449097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37696p1 1178d1 |
Quadratic twists by: -4 8 |