Atkin-Lehner |
2+ 7+ 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
109858c |
Isogeny class |
Conductor |
109858 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
478800 |
Modular degree for the optimal curve |
Δ |
74652973871392 = 25 · 78 · 193 · 59 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ 0 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-97291,11664790] |
[a1,a2,a3,a4,a6] |
j |
17666518683625/12949792 |
j-invariant |
L |
0.60775318493482 |
L(r)(E,1)/r! |
Ω |
0.60775246528575 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
109858e1 |
Quadratic twists by: -7 |