Atkin-Lehner |
2+ 5+ 23- 89- |
Signs for the Atkin-Lehner involutions |
Class |
102350g |
Isogeny class |
Conductor |
102350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-32752000000 = -1 · 210 · 56 · 23 · 89 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 2 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,800,0] |
[a1,a2,a3,a4,a6] |
Generators |
[574605:6374782:91125] |
Generators of the group modulo torsion |
j |
3616805375/2096128 |
j-invariant |
L |
7.6780578575287 |
L(r)(E,1)/r! |
Ω |
0.69376571763795 |
Real period |
R |
11.067220044075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001815 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4094f1 |
Quadratic twists by: 5 |