Atkin-Lehner |
2+ 3- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
70488d |
Isogeny class |
Conductor |
70488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-8039015424 = -1 · 210 · 36 · 112 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 3 0 11- -2 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-291,4718] |
[a1,a2,a3,a4,a6] |
Generators |
[47:308:1] |
Generators of the group modulo torsion |
j |
-3650692/10769 |
j-invariant |
L |
8.2260844933117 |
L(r)(E,1)/r! |
Ω |
1.1551838632843 |
Real period |
R |
1.7802543721189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000558 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7832b1 |
Quadratic twists by: -3 |