Atkin-Lehner |
2- 3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
34860k |
Isogeny class |
Conductor |
34860 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-34162800 = -1 · 24 · 3 · 52 · 73 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 5 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,70,-147] |
[a1,a2,a3,a4,a6] |
Generators |
[21:105:1] |
Generators of the group modulo torsion |
j |
2337108224/2135175 |
j-invariant |
L |
7.8855938033775 |
L(r)(E,1)/r! |
Ω |
1.1341715923889 |
Real period |
R |
1.1587890604172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104580n1 |
Quadratic twists by: -3 |