Atkin-Lehner |
2- 11- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
120802m |
Isogeny class |
Conductor |
120802 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-19253851848704 = -1 · 224 · 11 · 172 · 192 |
Discriminant |
Eigenvalues |
2- 1 -1 2 11- 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2374,206564] |
[a1,a2,a3,a4,a6] |
Generators |
[20:-522:1] |
Generators of the group modulo torsion |
j |
5119842245759/66622324736 |
j-invariant |
L |
13.504185891404 |
L(r)(E,1)/r! |
Ω |
0.50775857264484 |
Real period |
R |
0.55407671954733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000064614 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120802k1 |
Quadratic twists by: 17 |