Atkin-Lehner |
2- 5- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
117040cc |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-34566204570275840 = -1 · 212 · 5 · 75 · 114 · 193 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 11- 4 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-129200,-19945088] |
[a1,a2,a3,a4,a6] |
Generators |
[482:5434:1] |
Generators of the group modulo torsion |
j |
-58231056078442801/8439014787665 |
j-invariant |
L |
6.2608887669982 |
L(r)(E,1)/r! |
Ω |
0.12490579469245 |
Real period |
R |
2.0885369187579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000065535 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7315e1 |
Quadratic twists by: -4 |