Atkin-Lehner |
2+ 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
95760x |
Isogeny class |
Conductor |
95760 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
781894242544665600 = 210 · 314 · 52 · 72 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-322923,-56381078] |
[a1,a2,a3,a4,a6] |
Generators |
[-423:2128:1] |
Generators of the group modulo torsion |
j |
4988766332702884/1047419199225 |
j-invariant |
L |
6.536805427017 |
L(r)(E,1)/r! |
Ω |
0.20324272823685 |
Real period |
R |
2.0101596861997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009145 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
47880m3 31920n3 |
Quadratic twists by: -4 -3 |