Atkin-Lehner |
3- 5+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
41475n |
Isogeny class |
Conductor |
41475 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
8645850374765625 = 35 · 57 · 78 · 79 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12799251,17623762273] |
[a1,a2,a3,a4,a6] |
Generators |
[16534:-7473:8] |
Generators of the group modulo torsion |
j |
14840799746950146120481/553334423985 |
j-invariant |
L |
7.3407467900295 |
L(r)(E,1)/r! |
Ω |
0.30504212712183 |
Real period |
R |
4.8129396810157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124425j4 8295c4 |
Quadratic twists by: -3 5 |