Atkin-Lehner |
5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
29575d |
Isogeny class |
Conductor |
29575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
72000 |
Modular degree for the optimal curve |
Δ |
-57763671875 = -1 · 511 · 7 · 132 |
Discriminant |
Eigenvalues |
2 -3 5+ 7+ 3 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-325,11781] |
[a1,a2,a3,a4,a6] |
Generators |
[-190:621:8] |
Generators of the group modulo torsion |
j |
-1437696/21875 |
j-invariant |
L |
5.7295284141166 |
L(r)(E,1)/r! |
Ω |
0.94159801997853 |
Real period |
R |
1.5212246342253 |
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 |
5915e1 29575n1 |
Quadratic twists by: 5 13 |