Atkin-Lehner |
2- 3- 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
116820k |
Isogeny class |
Conductor |
116820 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-64032801734880000 = -1 · 28 · 311 · 54 · 11 · 593 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 1 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75288,-14541212] |
[a1,a2,a3,a4,a6] |
j |
-252891073355776/343111291875 |
j-invariant |
L |
1.647061202636 |
L(r)(E,1)/r! |
Ω |
0.137255035703 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38940o1 |
Quadratic twists by: -3 |