Atkin-Lehner |
2- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
940b |
Isogeny class |
Conductor |
940 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
360 |
Modular degree for the optimal curve |
Δ |
1504000 = 28 · 53 · 47 |
Discriminant |
Eigenvalues |
2- 3 5+ -3 5 5 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-103,398] |
[a1,a2,a3,a4,a6] |
j |
472058064/5875 |
j-invariant |
L |
2.6935919590943 |
L(r)(E,1)/r! |
Ω |
2.6935919590943 |
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 |
3760k1 15040n1 8460m1 4700f1 |
Quadratic twists by: -4 8 -3 5 |