Atkin-Lehner |
2+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37696d |
Isogeny class |
Conductor |
37696 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-830266479607808 = -1 · 217 · 193 · 314 |
Discriminant |
Eigenvalues |
2+ 1 0 -1 2 5 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,15807,-1150945] |
[a1,a2,a3,a4,a6] |
j |
3332227702750/6334430539 |
j-invariant |
L |
3.1460496430152 |
L(r)(E,1)/r! |
Ω |
0.26217080358423 |
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 |
37696l1 4712b1 |
Quadratic twists by: -4 8 |