Atkin-Lehner |
2- 3+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
98022o |
Isogeny class |
Conductor |
98022 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4374720 |
Modular degree for the optimal curve |
Δ |
-521969314913892 = -1 · 22 · 32 · 17 · 318 |
Discriminant |
Eigenvalues |
2- 3+ 2 -3 -5 -3 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17655512,28546750973] |
[a1,a2,a3,a4,a6] |
j |
-713626735389313/612 |
j-invariant |
L |
1.3027602819507 |
L(r)(E,1)/r! |
Ω |
0.3256900718405 |
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 |
98022w1 |
Quadratic twists by: -31 |