Atkin-Lehner |
2+ 7- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
69874h |
Isogeny class |
Conductor |
69874 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48960 |
Modular degree for the optimal curve |
Δ |
-105323036672 = -1 · 217 · 72 · 232 · 31 |
Discriminant |
Eigenvalues |
2+ -1 0 7- -4 1 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1075,-21139] |
[a1,a2,a3,a4,a6] |
j |
-2807916015625/2149449728 |
j-invariant |
L |
0.80694726177836 |
L(r)(E,1)/r! |
Ω |
0.40347363510917 |
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 |
69874a1 |
Quadratic twists by: -7 |