Atkin-Lehner |
2+ 3+ 5- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
116130y |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1089792 |
Modular degree for the optimal curve |
Δ |
-14247279036426240 = -1 · 211 · 36 · 5 · 72 · 794 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -5 3 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-57117,-7807491] |
[a1,a2,a3,a4,a6] |
j |
-420567470504098729/290760796661760 |
j-invariant |
L |
1.1985619768477 |
L(r)(E,1)/r! |
Ω |
0.14982029672272 |
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 |
116130ba1 |
Quadratic twists by: -7 |