Atkin-Lehner |
2+ 3+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
29610b |
Isogeny class |
Conductor |
29610 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
304704 |
Modular degree for the optimal curve |
Δ |
-13308931048734720 = -1 · 223 · 39 · 5 · 73 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 6 1 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9465,5564141] |
[a1,a2,a3,a4,a6] |
j |
-4764530201283/676163747840 |
j-invariant |
L |
1.955394531586 |
L(r)(E,1)/r! |
Ω |
0.32589908859767 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29610r1 |
Quadratic twists by: -3 |