Atkin-Lehner |
3+ 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
73425b |
Isogeny class |
Conductor |
73425 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7430547846884765625 = 38 · 510 · 114 · 892 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2046000,-1119628125] |
[a1,a2,a3,a4,a6] |
Generators |
[-850:2925:1] |
Generators of the group modulo torsion |
j |
60620694270460220161/475555062200625 |
j-invariant |
L |
6.1610915105105 |
L(r)(E,1)/r! |
Ω |
0.12629279032237 |
Real period |
R |
3.0490118903911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000004502 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14685g2 |
Quadratic twists by: 5 |