Atkin-Lehner |
2+ 7+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
69874a |
Isogeny class |
Conductor |
69874 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
342720 |
Modular degree for the optimal curve |
Δ |
-12391149941424128 = -1 · 217 · 78 · 232 · 31 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ -4 -1 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-52701,7092600] |
[a1,a2,a3,a4,a6] |
j |
-2807916015625/2149449728 |
j-invariant |
L |
0.73572177057774 |
L(r)(E,1)/r! |
Ω |
0.36786088114531 |
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 |
69874h1 |
Quadratic twists by: -7 |