Atkin-Lehner |
2- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
95648p |
Isogeny class |
Conductor |
95648 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-109379943092224 = -1 · 212 · 76 · 613 |
Discriminant |
Eigenvalues |
2- 0 -1 7- -3 3 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16268,-943936] |
[a1,a2,a3,a4,a6] |
Generators |
[96517:29985089:1] |
Generators of the group modulo torsion |
j |
-988047936/226981 |
j-invariant |
L |
4.7937417834121 |
L(r)(E,1)/r! |
Ω |
0.20881832162958 |
Real period |
R |
11.47825954819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999900885 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95648o1 1952c1 |
Quadratic twists by: -4 -7 |