Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200fv |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-3355202418750000 = -1 · 24 · 33 · 58 · 76 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31533,-3533562] |
[a1,a2,a3,a4,a6] |
j |
-13870539341824/13420809675 |
j-invariant |
L |
3.1021977626894 |
L(r)(E,1)/r! |
Ω |
0.17234433273586 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27300a1 21840bb1 |
Quadratic twists by: -4 5 |