Atkin-Lehner |
2+ 7+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
75152a |
Isogeny class |
Conductor |
75152 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
9619456 = 211 · 7 · 11 · 61 |
Discriminant |
Eigenvalues |
2+ 1 -1 7+ 11+ 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-96,-364] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:4:1] |
Generators of the group modulo torsion |
j |
48275138/4697 |
j-invariant |
L |
5.7942519149576 |
L(r)(E,1)/r! |
Ω |
1.5334271110821 |
Real period |
R |
1.8893144224317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002635 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37576b1 |
Quadratic twists by: -4 |