Atkin-Lehner |
2- 5+ 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
56950m |
Isogeny class |
Conductor |
56950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-147727966308593750 = -1 · 2 · 518 · 172 · 67 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 4 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-120480,-24486103] |
[a1,a2,a3,a4,a6] |
Generators |
[2385463653975722553392250:-228958782582544299477309937:261254128818921875000] |
Generators of the group modulo torsion |
j |
-12377849083489161/9454589843750 |
j-invariant |
L |
10.042225017135 |
L(r)(E,1)/r! |
Ω |
0.12402645659194 |
Real period |
R |
40.484205116679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11390f2 |
Quadratic twists by: 5 |