Atkin-Lehner |
2- 5+ 29+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
76850g |
Isogeny class |
Conductor |
76850 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
106772561920000000 = 224 · 57 · 29 · 532 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 6 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-178005,24301997] |
[a1,a2,a3,a4,a6] |
Generators |
[-417:5296:1] |
Generators of the group modulo torsion |
j |
39920686684059609/6833443962880 |
j-invariant |
L |
10.861418523518 |
L(r)(E,1)/r! |
Ω |
0.31918299459601 |
Real period |
R |
1.4178672196228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15370b1 |
Quadratic twists by: 5 |