Atkin-Lehner |
2- 3+ 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
114576bb |
Isogeny class |
Conductor |
114576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
1067504592 = 24 · 3 · 72 · 114 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11- -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-313,-1340] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:33:8] |
Generators of the group modulo torsion |
j |
212629504000/66719037 |
j-invariant |
L |
5.4074734582923 |
L(r)(E,1)/r! |
Ω |
1.1627093790358 |
Real period |
R |
2.3253762190966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999608528 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28644p1 |
Quadratic twists by: -4 |