Atkin-Lehner |
2- 3- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
69678y |
Isogeny class |
Conductor |
69678 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
1100736 |
Modular degree for the optimal curve |
Δ |
-8159248082313216 = -1 · 213 · 37 · 78 · 79 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -6 -6 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-647177,-200278263] |
[a1,a2,a3,a4,a6] |
j |
-7133135240329/1941504 |
j-invariant |
L |
2.1881651462258 |
L(r)(E,1)/r! |
Ω |
0.084160198596386 |
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 |
23226a1 69678bi1 |
Quadratic twists by: -3 -7 |