Atkin-Lehner |
5+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
76705f |
Isogeny class |
Conductor |
76705 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1483776 |
Modular degree for the optimal curve |
Δ |
5145276454790703125 = 57 · 238 · 292 |
Discriminant |
Eigenvalues |
-2 -2 5+ 0 -1 -4 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-433956,13875900] |
[a1,a2,a3,a4,a6] |
Generators |
[705:7670:1] |
Generators of the group modulo torsion |
j |
115408850944/65703125 |
j-invariant |
L |
1.2530556784282 |
L(r)(E,1)/r! |
Ω |
0.20800657190844 |
Real period |
R |
1.0040193034976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999818492 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76705m1 |
Quadratic twists by: -23 |