Atkin-Lehner |
2+ 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76874c |
Isogeny class |
Conductor |
76874 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
278784 |
Modular degree for the optimal curve |
Δ |
-111769689106432 = -1 · 211 · 7 · 177 · 19 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ -2 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-28376,-1901760] |
[a1,a2,a3,a4,a6] |
j |
-104686895097/4630528 |
j-invariant |
L |
0.36689301399718 |
L(r)(E,1)/r! |
Ω |
0.18344650325583 |
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 |
4522d1 |
Quadratic twists by: 17 |