Atkin-Lehner |
2+ 3+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57960d |
Isogeny class |
Conductor |
57960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
241828079133312000 = 210 · 39 · 53 · 73 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-347787,75314934] |
[a1,a2,a3,a4,a6] |
Generators |
[-342:12420:1] |
Generators of the group modulo torsion |
j |
230819500134828/11998182875 |
j-invariant |
L |
6.0038799836245 |
L(r)(E,1)/r! |
Ω |
0.30839569427482 |
Real period |
R |
1.6223421444267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997391 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115920l1 57960be1 |
Quadratic twists by: -4 -3 |