Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7650bc |
Isogeny class |
Conductor |
7650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
46473750 = 2 · 37 · 54 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 5 -2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-117,391] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:23:1] |
Generators of the group modulo torsion |
j |
390625/102 |
j-invariant |
L |
3.6250966957253 |
L(r)(E,1)/r! |
Ω |
1.8862165091787 |
Real period |
R |
0.32031465087959 |
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 |
61200gu1 2550y1 7650cd1 |
Quadratic twists by: -4 -3 5 |