Atkin-Lehner |
2- 3+ 5+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
116850bs |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
3502080 |
Modular degree for the optimal curve |
Δ |
107899290000000000 = 210 · 36 · 510 · 192 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5613088,5116233281] |
[a1,a2,a3,a4,a6] |
Generators |
[1325:2037:1] |
Generators of the group modulo torsion |
j |
1251725915594145317689/6905554560000 |
j-invariant |
L |
10.665149377437 |
L(r)(E,1)/r! |
Ω |
0.29684256740581 |
Real period |
R |
0.89821596757122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020148 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23370d1 |
Quadratic twists by: 5 |