Atkin-Lehner |
2+ 7- 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
109858f |
Isogeny class |
Conductor |
109858 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
388800 |
Modular degree for the optimal curve |
Δ |
-4174604 = -1 · 22 · 72 · 192 · 59 |
Discriminant |
Eigenvalues |
2+ -1 3 7- 0 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-285751,-58912783] |
[a1,a2,a3,a4,a6] |
Generators |
[9895900:54865259:15625] |
Generators of the group modulo torsion |
j |
-52661507063080450633/85196 |
j-invariant |
L |
5.3438327213782 |
L(r)(E,1)/r! |
Ω |
0.10324580657089 |
Real period |
R |
12.939587790656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016493 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109858d1 |
Quadratic twists by: -7 |