Atkin-Lehner |
2+ 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
96600g |
Isogeny class |
Conductor |
96600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
174720 |
Modular degree for the optimal curve |
Δ |
-29457803692800 = -1 · 28 · 35 · 52 · 77 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -3 -2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4972,-225228] |
[a1,a2,a3,a4,a6] |
j |
2123487686960/4602781827 |
j-invariant |
L |
0.68821140363959 |
L(r)(E,1)/r! |
Ω |
0.34410570361875 |
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 |
96600cq1 |
Quadratic twists by: 5 |