Atkin-Lehner |
2+ 3- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
75888g |
Isogeny class |
Conductor |
75888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
350208 |
Modular degree for the optimal curve |
Δ |
-6362536128236784 = -1 · 24 · 312 · 176 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 -2 -2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27543,-4221799] |
[a1,a2,a3,a4,a6] |
Generators |
[185672:2962539:512] |
Generators of the group modulo torsion |
j |
-198111610045696/545484921831 |
j-invariant |
L |
3.4286539313503 |
L(r)(E,1)/r! |
Ω |
0.17190749245886 |
Real period |
R |
4.9861903651693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002786 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37944j1 25296e1 |
Quadratic twists by: -4 -3 |