Atkin-Lehner |
2+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
38440d |
Isogeny class |
Conductor |
38440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6240 |
Modular degree for the optimal curve |
Δ |
1230080 = 28 · 5 · 312 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 -3 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41,-101] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:2:1] [-3:2:1] |
Generators of the group modulo torsion |
j |
31744/5 |
j-invariant |
L |
5.3149921721212 |
L(r)(E,1)/r! |
Ω |
1.9028867608495 |
Real period |
R |
0.69828014486655 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76880e1 38440a1 |
Quadratic twists by: -4 -31 |