Atkin-Lehner |
2- 5- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
29900o |
Isogeny class |
Conductor |
29900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
9568000 = 28 · 53 · 13 · 23 |
Discriminant |
Eigenvalues |
2- -3 5- -3 0 13- -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55,-50] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:8:1] [-5:10:1] |
Generators of the group modulo torsion |
j |
574992/299 |
j-invariant |
L |
4.9200711180566 |
L(r)(E,1)/r! |
Ω |
1.8559712112663 |
Real period |
R |
0.44182358434846 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119600cs1 29900m1 |
Quadratic twists by: -4 5 |