Atkin-Lehner |
2- 3- 5- 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
124830cx |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-1317705604830 = -1 · 2 · 36 · 5 · 195 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 3 2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3287,91981] |
[a1,a2,a3,a4,a6] |
j |
-5386062926889/1807552270 |
j-invariant |
L |
8.0996884063755 |
L(r)(E,1)/r! |
Ω |
0.80996904029309 |
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 |
13870a1 |
Quadratic twists by: -3 |