Atkin-Lehner |
2- 3- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
12834v |
Isogeny class |
Conductor |
12834 |
Conductor |
∏ cp |
136 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
-22380730449002496 = -1 · 217 · 39 · 234 · 31 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 5 3 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-49334,-8330043] |
[a1,a2,a3,a4,a6] |
Generators |
[329:3147:1] |
Generators of the group modulo torsion |
j |
-18214905367183897/30700590465024 |
j-invariant |
L |
5.7223381029531 |
L(r)(E,1)/r! |
Ω |
0.15144169578374 |
Real period |
R |
0.27783639931619 |
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 |
102672bl1 4278c1 |
Quadratic twists by: -4 -3 |