Atkin-Lehner |
2- 5+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
34450o |
Isogeny class |
Conductor |
34450 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-1819390625000 = -1 · 23 · 59 · 133 · 53 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 0 13+ 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1312,-61719] |
[a1,a2,a3,a4,a6] |
Generators |
[55:397:1] |
Generators of the group modulo torsion |
j |
15983964359/116441000 |
j-invariant |
L |
5.9259953895323 |
L(r)(E,1)/r! |
Ω |
0.41568631489029 |
Real period |
R |
2.3759884866932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6890f1 |
Quadratic twists by: 5 |