Atkin-Lehner |
2- 5+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
30550s |
Isogeny class |
Conductor |
30550 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
-8067109375000 = -1 · 23 · 510 · 133 · 47 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 0 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4388,174781] |
[a1,a2,a3,a4,a6] |
Generators |
[238:2019:8] |
Generators of the group modulo torsion |
j |
-956818825/826072 |
j-invariant |
L |
11.551338711268 |
L(r)(E,1)/r! |
Ω |
0.67526608542891 |
Real period |
R |
5.7021170175364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30550l1 |
Quadratic twists by: 5 |