Atkin-Lehner |
2+ 3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
37950bp |
Isogeny class |
Conductor |
37950 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
-1.2241966624501E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11- 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1338701,1785725048] |
[a1,a2,a3,a4,a6] |
Generators |
[543:-35186:1] |
Generators of the group modulo torsion |
j |
-135845097606008981/626788691174448 |
j-invariant |
L |
5.5378367333818 |
L(r)(E,1)/r! |
Ω |
0.1334535198003 |
Real period |
R |
0.49400441349932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113850fm1 37950ci1 |
Quadratic twists by: -3 5 |