Atkin-Lehner |
2- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
37696l |
Isogeny class |
Conductor |
37696 |
Conductor |
∏ cp |
8 |
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] |
Generators |
[-57:248:1] |
Generators of the group modulo torsion |
j |
3332227702750/6334430539 |
j-invariant |
L |
5.0441617925366 |
L(r)(E,1)/r! |
Ω |
0.34549027061502 |
Real period |
R |
1.8250013898939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37696d1 9424b1 |
Quadratic twists by: -4 8 |