Atkin-Lehner |
2+ 3- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
88920n |
Isogeny class |
Conductor |
88920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
94943618640 = 24 · 37 · 5 · 134 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 4 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1362,-12431] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:68:1] |
Generators of the group modulo torsion |
j |
23955625984/8139885 |
j-invariant |
L |
5.7107812495421 |
L(r)(E,1)/r! |
Ω |
0.80751515474048 |
Real period |
R |
3.5360210961069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007644 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29640t1 |
Quadratic twists by: -3 |