Atkin-Lehner |
2- 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
95760cy |
Isogeny class |
Conductor |
95760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-147087360 = -1 · 213 · 33 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -3 -5 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27,586] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-24:1] |
Generators of the group modulo torsion |
j |
-19683/1330 |
j-invariant |
L |
6.1699683746279 |
L(r)(E,1)/r! |
Ω |
1.5126661322073 |
Real period |
R |
0.50985873937264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999944189 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11970bl1 95760cg1 |
Quadratic twists by: -4 -3 |