Atkin-Lehner |
3+ 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
118581a |
Isogeny class |
Conductor |
118581 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
704816 |
Modular degree for the optimal curve |
Δ |
61141294342269 = 37 · 296 · 47 |
Discriminant |
Eigenvalues |
2 3+ -3 -3 5 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-10372,157695] |
[a1,a2,a3,a4,a6] |
Generators |
[-4230610230:229371560601:456533000] |
Generators of the group modulo torsion |
j |
207474688/102789 |
j-invariant |
L |
9.9533940753446 |
L(r)(E,1)/r! |
Ω |
0.5527229214733 |
Real period |
R |
18.007927080606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009719 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
141a1 |
Quadratic twists by: 29 |