Atkin-Lehner |
2- 3+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
29610p |
Isogeny class |
Conductor |
29610 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-11456227440 = -1 · 24 · 33 · 5 · 74 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,562,-563] |
[a1,a2,a3,a4,a6] |
Generators |
[55:413:1] |
Generators of the group modulo torsion |
j |
728271242973/424304720 |
j-invariant |
L |
7.269065281716 |
L(r)(E,1)/r! |
Ω |
0.7528885988662 |
Real period |
R |
1.206862690686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29610c1 |
Quadratic twists by: -3 |