Atkin-Lehner |
2- 3- 5- 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
114570cb |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-4211986748866560 = -1 · 216 · 312 · 5 · 192 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 6 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,31198,-2299359] |
[a1,a2,a3,a4,a6] |
j |
4606695382514471/5777759600640 |
j-invariant |
L |
7.5021911962171 |
L(r)(E,1)/r! |
Ω |
0.23444349868031 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38190b1 |
Quadratic twists by: -3 |