Atkin-Lehner |
2+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89888a |
Isogeny class |
Conductor |
89888 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
11348152898048 = 29 · 536 |
Discriminant |
Eigenvalues |
2+ 0 2 0 0 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30899,-2084278] |
[a1,a2,a3,a4,a6] |
Generators |
[-3446421987571096590474150930:-1976761174179244382422931438:35070385103862866354743875] |
Generators of the group modulo torsion |
j |
287496 |
j-invariant |
L |
7.7743101493883 |
L(r)(E,1)/r! |
Ω |
0.36016730436349 |
Real period |
R |
43.170549107518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992479 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89888a4 32a3 |
Quadratic twists by: -4 53 |