Atkin-Lehner |
2+ 3+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
34224f |
Isogeny class |
Conductor |
34224 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
10428189696 = 210 · 33 · 233 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -3 1 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1296,17712] |
[a1,a2,a3,a4,a6] |
Generators |
[14:46:1] |
Generators of the group modulo torsion |
j |
235273937476/10183779 |
j-invariant |
L |
2.8502772126662 |
L(r)(E,1)/r! |
Ω |
1.2715498450227 |
Real period |
R |
0.37359620935865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17112m1 102672f1 |
Quadratic twists by: -4 -3 |