Atkin-Lehner |
2+ 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344g |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
360960 |
Modular degree for the optimal curve |
Δ |
143961501376 = 26 · 75 · 11 · 233 |
Discriminant |
Eigenvalues |
2+ -3 3 7+ 11+ 5 -8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2071,31348] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:142:1] |
Generators of the group modulo torsion |
j |
15349139558208/2249398459 |
j-invariant |
L |
4.2779337345279 |
L(r)(E,1)/r! |
Ω |
0.99034699999861 |
Real period |
R |
4.3196311240094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022825 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344cf1 56672g1 |
Quadratic twists by: -4 8 |