Atkin-Lehner |
2- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
78200u |
Isogeny class |
Conductor |
78200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-230220800 = -1 · 210 · 52 · 17 · 232 |
Discriminant |
Eigenvalues |
2- 3 5+ 1 -4 -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5,-730] |
[a1,a2,a3,a4,a6] |
Generators |
[1497:11132:27] |
Generators of the group modulo torsion |
j |
540/8993 |
j-invariant |
L |
12.06777086675 |
L(r)(E,1)/r! |
Ω |
0.81447965137947 |
Real period |
R |
3.7041351620317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004155 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78200l1 |
Quadratic twists by: 5 |