Atkin-Lehner |
2- 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
29304q |
Isogeny class |
Conductor |
29304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-1580833584 = -1 · 24 · 38 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 0 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,186,1645] |
[a1,a2,a3,a4,a6] |
Generators |
[2:45:1] |
Generators of the group modulo torsion |
j |
61011968/135531 |
j-invariant |
L |
6.4668415435329 |
L(r)(E,1)/r! |
Ω |
1.0441171840177 |
Real period |
R |
1.5483993661154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58608e1 9768j1 |
Quadratic twists by: -4 -3 |