Atkin-Lehner |
2+ 3- 7- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69426u |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
157696 |
Modular degree for the optimal curve |
Δ |
-4007895220224 = -1 · 214 · 37 · 7 · 19 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11061,-455243] |
[a1,a2,a3,a4,a6] |
j |
-205305907672657/5497798656 |
j-invariant |
L |
0.92959303032798 |
L(r)(E,1)/r! |
Ω |
0.23239825826251 |
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 |
23142z1 |
Quadratic twists by: -3 |