Atkin-Lehner |
2+ 3+ 7- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
29526c |
Isogeny class |
Conductor |
29526 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8704 |
Modular degree for the optimal curve |
Δ |
5580414 = 2 · 34 · 72 · 19 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 3 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-44,-6] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:8:1] [-3:12:1] |
Generators of the group modulo torsion |
j |
9759185353/5580414 |
j-invariant |
L |
4.7001730544809 |
L(r)(E,1)/r! |
Ω |
2.0612049235646 |
Real period |
R |
0.57007590569324 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88578bh1 |
Quadratic twists by: -3 |