Atkin-Lehner |
2- 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
24700r |
Isogeny class |
Conductor |
24700 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-79311700000000 = -1 · 28 · 58 · 133 · 192 |
Discriminant |
Eigenvalues |
2- -2 5- -1 -3 13- 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6708,475588] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:494:1] |
Generators of the group modulo torsion |
j |
-333862480/793117 |
j-invariant |
L |
3.1397866877799 |
L(r)(E,1)/r! |
Ω |
0.54026515390411 |
Real period |
R |
0.96859436059341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
98800cx1 24700c1 |
Quadratic twists by: -4 5 |