Atkin-Lehner |
2+ 5+ 29- 61- |
Signs for the Atkin-Lehner involutions |
Class |
88450h |
Isogeny class |
Conductor |
88450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1363968 |
Modular degree for the optimal curve |
Δ |
59509160000000000 = 212 · 510 · 293 · 61 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 0 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-761525,255198125] |
[a1,a2,a3,a4,a6] |
Generators |
[-7330:112415:8] |
Generators of the group modulo torsion |
j |
3125770391817572689/3808586240000 |
j-invariant |
L |
6.7237044716833 |
L(r)(E,1)/r! |
Ω |
0.35027780013448 |
Real period |
R |
3.1992247603058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006885 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17690g1 |
Quadratic twists by: 5 |