Atkin-Lehner |
2+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
29600n |
Isogeny class |
Conductor |
29600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
7296 |
Modular degree for the optimal curve |
Δ |
-94720000 = -1 · 212 · 54 · 37 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 -2 4 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,463] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-20:1] |
Generators of the group modulo torsion |
j |
-1600/37 |
j-invariant |
L |
4.1989926136617 |
L(r)(E,1)/r! |
Ω |
1.594413269494 |
Real period |
R |
0.21946383527623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29600m1 59200dn1 29600o1 |
Quadratic twists by: -4 8 5 |