Atkin-Lehner |
2- 3- 5- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
116130de |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
389760 |
Modular degree for the optimal curve |
Δ |
-51234668887500 = -1 · 22 · 32 · 55 · 78 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 1 4 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,6810,-267408] |
[a1,a2,a3,a4,a6] |
j |
6058662239/8887500 |
j-invariant |
L |
6.7059052361303 |
L(r)(E,1)/r! |
Ω |
0.33529527193123 |
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 |
116130ca1 |
Quadratic twists by: -7 |