Atkin-Lehner |
2+ 3+ 23- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
113712b |
Isogeny class |
Conductor |
113712 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
48576 |
Modular degree for the optimal curve |
Δ |
-6714579888 = -1 · 24 · 311 · 23 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 2 1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-983,12834] |
[a1,a2,a3,a4,a6] |
j |
-6572128000000/419661243 |
j-invariant |
L |
1.3119619036302 |
L(r)(E,1)/r! |
Ω |
1.3119614702802 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56856b1 |
Quadratic twists by: -4 |