Atkin-Lehner |
2+ 23- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
98624f |
Isogeny class |
Conductor |
98624 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1154304 |
Modular degree for the optimal curve |
Δ |
-2130475816844288 = -1 · 210 · 23 · 676 |
Discriminant |
Eigenvalues |
2+ -3 -4 2 -2 -1 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,23948,-1702040] |
[a1,a2,a3,a4,a6] |
j |
1483308563118336/2080542789887 |
j-invariant |
L |
0.49283076437811 |
L(r)(E,1)/r! |
Ω |
0.24641537880816 |
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 |
98624m1 6164c1 |
Quadratic twists by: -4 8 |