Atkin-Lehner |
2- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
97600cm |
Isogeny class |
Conductor |
97600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
-58107136000000000 = -1 · 217 · 59 · 613 |
Discriminant |
Eigenvalues |
2- -2 5- 2 2 -5 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,63167,9878463] |
[a1,a2,a3,a4,a6] |
Generators |
[1658:68375:1] |
Generators of the group modulo torsion |
j |
108879878/226981 |
j-invariant |
L |
4.9646956828857 |
L(r)(E,1)/r! |
Ω |
0.24370501120247 |
Real period |
R |
5.0929355710909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000254 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97600ba1 24400m1 97600cl1 |
Quadratic twists by: -4 8 5 |