Atkin-Lehner |
2- 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
78320bi |
Isogeny class |
Conductor |
78320 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
926208 |
Modular degree for the optimal curve |
Δ |
8595756830679040 = 213 · 5 · 119 · 89 |
Discriminant |
Eigenvalues |
2- 3 5+ -3 11- 2 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-89563,-9302518] |
[a1,a2,a3,a4,a6] |
j |
19397674210766769/2098573444990 |
j-invariant |
L |
5.0023576598067 |
L(r)(E,1)/r! |
Ω |
0.27790875812969 |
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 |
9790k1 |
Quadratic twists by: -4 |