Atkin-Lehner |
2- 3- 11- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31746bo |
Isogeny class |
Conductor |
31746 |
Conductor |
∏ cp |
77 |
Product of Tamagawa factors cp |
deg |
2537920 |
Modular degree for the optimal curve |
Δ |
-1.5051134846585E+21 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 11- 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2861351,116076857] |
[a1,a2,a3,a4,a6] |
j |
2590819216933367848733423/1505113484658543686784 |
j-invariant |
L |
6.9973312648778 |
L(r)(E,1)/r! |
Ω |
0.090874432011383 |
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 |
95238p1 |
Quadratic twists by: -3 |