Atkin-Lehner |
2- 3- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
12834s |
Isogeny class |
Conductor |
12834 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
10952249825424672 = 25 · 36 · 232 · 316 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 0 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-130010,-17293831] |
[a1,a2,a3,a4,a6] |
Generators |
[-213:943:1] |
Generators of the group modulo torsion |
j |
333367552811841625/15023662311968 |
j-invariant |
L |
6.1643925686103 |
L(r)(E,1)/r! |
Ω |
0.25212445027978 |
Real period |
R |
0.81499335768106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102672be2 1426b2 |
Quadratic twists by: -4 -3 |