Atkin-Lehner |
2- 3+ 7+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
98532d |
Isogeny class |
Conductor |
98532 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-1182384 = -1 · 24 · 33 · 7 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ -6 6 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-216,-1223] |
[a1,a2,a3,a4,a6] |
j |
-2579890176/2737 |
j-invariant |
L |
3.7357666840903 |
L(r)(E,1)/r! |
Ω |
0.62262778200754 |
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 |
98532h1 |
Quadratic twists by: -3 |