Atkin-Lehner |
2+ 3+ 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
7638a |
Isogeny class |
Conductor |
7638 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
733248 = 26 · 32 · 19 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 2 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-34,52] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:14:1] |
Generators of the group modulo torsion |
j |
4549540393/733248 |
j-invariant |
L |
2.9107864594526 |
L(r)(E,1)/r! |
Ω |
2.7247817542977 |
Real period |
R |
1.0682640746774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61104y1 22914i1 |
Quadratic twists by: -4 -3 |