Atkin-Lehner |
3+ 5+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
109725ba |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
4147200 |
Modular degree for the optimal curve |
Δ |
-5883119110107421875 = -1 · 32 · 515 · 7 · 115 · 19 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- 11- -5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1717658,-873720157] |
[a1,a2,a3,a4,a6] |
j |
-35868567163630219264/376519623046875 |
j-invariant |
L |
2.6358679016635 |
L(r)(E,1)/r! |
Ω |
0.065896694602701 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21945v1 |
Quadratic twists by: 5 |