Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21294j |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
404352 |
Modular degree for the optimal curve |
Δ |
7110218217541099752 = 23 · 33 · 79 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -3 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-512862,-59250996] |
[a1,a2,a3,a4,a6] |
j |
677353174875/322828856 |
j-invariant |
L |
1.1219103109685 |
L(r)(E,1)/r! |
Ω |
0.18698505182809 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
21294bv2 21294bo1 |
Quadratic twists by: -3 13 |