Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
49368n |
Isogeny class |
Conductor |
49368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
69388501248 = 28 · 32 · 116 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6332,-195648] |
[a1,a2,a3,a4,a6] |
Generators |
[-2049040:-417696:42875] |
Generators of the group modulo torsion |
j |
61918288/153 |
j-invariant |
L |
9.590472957837 |
L(r)(E,1)/r! |
Ω |
0.53527024490001 |
Real period |
R |
8.9585336091558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98736g1 408b1 |
Quadratic twists by: -4 -11 |