Atkin-Lehner |
2+ 3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
69090v |
Isogeny class |
Conductor |
69090 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1596672 |
Modular degree for the optimal curve |
Δ |
-382271100818503680 = -1 · 211 · 39 · 5 · 79 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -1 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1017119,-396029518] |
[a1,a2,a3,a4,a6] |
j |
-989122678774193881/3249250744320 |
j-invariant |
L |
1.3527382179953 |
L(r)(E,1)/r! |
Ω |
0.075152121823122 |
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 |
9870b1 |
Quadratic twists by: -7 |