Atkin-Lehner |
2- 3+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
78498bi |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-9731105102702592 = -1 · 211 · 33 · 711 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 0 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15518,-4800211] |
[a1,a2,a3,a4,a6] |
j |
-130092635763/3063445504 |
j-invariant |
L |
7.7782872469114 |
L(r)(E,1)/r! |
Ω |
0.17677925668964 |
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 |
78498e1 11214j1 |
Quadratic twists by: -3 -7 |