Atkin-Lehner |
2- 3+ 7+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
98532h |
Isogeny class |
Conductor |
98532 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-861957936 = -1 · 24 · 39 · 7 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 6 6 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1944,33021] |
[a1,a2,a3,a4,a6] |
j |
-2579890176/2737 |
j-invariant |
L |
3.1483106090689 |
L(r)(E,1)/r! |
Ω |
1.5741551434045 |
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 |
98532d1 |
Quadratic twists by: -3 |