Atkin-Lehner |
2- 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
49200bu |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-55091404800 = -1 · 213 · 38 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 2 1 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-328,11632] |
[a1,a2,a3,a4,a6] |
Generators |
[76:648:1] |
Generators of the group modulo torsion |
j |
-38226865/538002 |
j-invariant |
L |
5.5474495178353 |
L(r)(E,1)/r! |
Ω |
0.94678737468353 |
Real period |
R |
0.73240434787228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6150o1 49200dx1 |
Quadratic twists by: -4 5 |