Atkin-Lehner |
5- 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
7585b |
Isogeny class |
Conductor |
7585 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
832 |
Modular degree for the optimal curve |
Δ |
310985 = 5 · 37 · 412 |
Discriminant |
Eigenvalues |
1 2 5- 2 0 6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17,-16] |
[a1,a2,a3,a4,a6] |
j |
594823321/310985 |
j-invariant |
L |
4.9447792233302 |
L(r)(E,1)/r! |
Ω |
2.4723896116651 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121360y1 68265c1 37925d1 |
Quadratic twists by: -4 -3 5 |