Atkin-Lehner |
2- 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
31950bs |
Isogeny class |
Conductor |
31950 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
15461755200 = 26 · 33 · 52 · 713 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -3 4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1820,29727] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:231:1] |
Generators of the group modulo torsion |
j |
987211883835/22906304 |
j-invariant |
L |
9.9500325213569 |
L(r)(E,1)/r! |
Ω |
1.2411801075957 |
Real period |
R |
0.22268306635635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31950d2 31950l1 |
Quadratic twists by: -3 5 |