Atkin-Lehner |
2- 3+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
37392l |
Isogeny class |
Conductor |
37392 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
266112 |
Modular degree for the optimal curve |
Δ |
-2991486235392 = -1 · 28 · 37 · 194 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 -5 -6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-902573,-329743167] |
[a1,a2,a3,a4,a6] |
Generators |
[1149:12198:1] |
Generators of the group modulo torsion |
j |
-317637113714234368000/11685493107 |
j-invariant |
L |
2.8098904563564 |
L(r)(E,1)/r! |
Ω |
0.077445989601838 |
Real period |
R |
4.5352420293195 |
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 |
9348b1 112176z1 |
Quadratic twists by: -4 -3 |