Atkin-Lehner |
2+ 3+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
89298c |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
-62755776864 = -1 · 25 · 33 · 116 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -1 4 11- 5 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,885,6309] |
[a1,a2,a3,a4,a6] |
j |
1601613/1312 |
j-invariant |
L |
2.857923876606 |
L(r)(E,1)/r! |
Ω |
0.7144809875835 |
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 |
89298br1 738e1 |
Quadratic twists by: -3 -11 |