Atkin-Lehner |
2- 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
95760ex |
Isogeny class |
Conductor |
95760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
23538401987788800 = 220 · 39 · 52 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-76107,-3289606] |
[a1,a2,a3,a4,a6] |
Generators |
[-202:1960:1] |
Generators of the group modulo torsion |
j |
16327137318409/7882963200 |
j-invariant |
L |
7.2810636915019 |
L(r)(E,1)/r! |
Ω |
0.30164136083885 |
Real period |
R |
3.0172684547379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999860951 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11970cg1 31920v1 |
Quadratic twists by: -4 -3 |