Atkin-Lehner |
2- 3- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
75888y |
Isogeny class |
Conductor |
75888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
261120 |
Modular degree for the optimal curve |
Δ |
-6170489175024 = -1 · 24 · 316 · 172 · 31 |
Discriminant |
Eigenvalues |
2- 3- 3 3 -6 -6 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9561,379163] |
[a1,a2,a3,a4,a6] |
j |
-8286786611968/529019991 |
j-invariant |
L |
2.9719488983137 |
L(r)(E,1)/r! |
Ω |
0.7429872377689 |
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 |
18972g1 25296h1 |
Quadratic twists by: -4 -3 |