Atkin-Lehner |
2+ 3- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
116280u |
Isogeny class |
Conductor |
116280 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
471040 |
Modular degree for the optimal curve |
Δ |
18119185650000 = 24 · 310 · 55 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-158862,24370409] |
[a1,a2,a3,a4,a6] |
Generators |
[148:2025:1] |
Generators of the group modulo torsion |
j |
38013361752745984/1553428125 |
j-invariant |
L |
8.2082014898789 |
L(r)(E,1)/r! |
Ω |
0.64750848630186 |
Real period |
R |
0.63382964336209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037702 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38760p1 |
Quadratic twists by: -3 |