Atkin-Lehner |
2+ 3+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68880a |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
45565740057600 = 210 · 32 · 52 · 76 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37576,-2772224] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:130:1] |
Generators of the group modulo torsion |
j |
5730162718385956/44497793025 |
j-invariant |
L |
3.7979229540602 |
L(r)(E,1)/r! |
Ω |
0.34306333773159 |
Real period |
R |
2.7676543489396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998741 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34440v2 |
Quadratic twists by: -4 |