Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
55200bh |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
47616 |
Modular degree for the optimal curve |
Δ |
529920000 = 212 · 32 · 54 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -3 -3 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6433,196463] |
[a1,a2,a3,a4,a6] |
Generators |
[47:12:1] |
Generators of the group modulo torsion |
j |
11502491200/207 |
j-invariant |
L |
5.8823192793054 |
L(r)(E,1)/r! |
Ω |
1.5129964905345 |
Real period |
R |
0.48598256143949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999217 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55200cc1 110400cc1 55200bt1 |
Quadratic twists by: -4 8 5 |