Atkin-Lehner |
2+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
37030h |
Isogeny class |
Conductor |
37030 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1483776 |
Modular degree for the optimal curve |
Δ |
2.5304898063639E+20 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -2 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2692709,-1518102635] |
[a1,a2,a3,a4,a6] |
Generators |
[-13111464:-179908087:13824] |
Generators of the group modulo torsion |
j |
1198785674367/140492800 |
j-invariant |
L |
3.1931026433577 |
L(r)(E,1)/r! |
Ω |
0.11875769943477 |
Real period |
R |
13.443771050447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37030f1 |
Quadratic twists by: -23 |