Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
55800y |
Isogeny class |
Conductor |
55800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
4749647649300000000 = 28 · 313 · 58 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 1 0 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3229500,2231372500] |
[a1,a2,a3,a4,a6] |
Generators |
[1250:-12150:1] |
Generators of the group modulo torsion |
j |
51097782154240/65152917 |
j-invariant |
L |
6.5955598693398 |
L(r)(E,1)/r! |
Ω |
0.24327588001875 |
Real period |
R |
0.56482170475745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999528 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111600ca1 18600bc1 55800bo1 |
Quadratic twists by: -4 -3 5 |