Atkin-Lehner |
2+ 3- 5+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
29370i |
Isogeny class |
Conductor |
29370 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
87228900 = 22 · 34 · 52 · 112 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-114,112] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:157:8] [-10:21:1] |
Generators of the group modulo torsion |
j |
161789533849/87228900 |
j-invariant |
L |
6.3164917804378 |
L(r)(E,1)/r! |
Ω |
1.6713013809812 |
Real period |
R |
0.47242315571543 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88110cv1 |
Quadratic twists by: -3 |