Atkin-Lehner |
2+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
7504c |
Isogeny class |
Conductor |
7504 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
18017104 = 24 · 75 · 67 |
Discriminant |
Eigenvalues |
2+ -1 1 7+ 0 3 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-75,-122] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:4:1] |
Generators of the group modulo torsion |
j |
2955053056/1126069 |
j-invariant |
L |
3.4774491688355 |
L(r)(E,1)/r! |
Ω |
1.6733574341121 |
Real period |
R |
2.0781269428433 |
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 |
3752f1 30016bl1 67536i1 52528d1 |
Quadratic twists by: -4 8 -3 -7 |