Atkin-Lehner |
2+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
5194b |
Isogeny class |
Conductor |
5194 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
3515376756641792 = 212 · 78 · 533 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ -3 -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-38981,795120] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:1590:1] |
Generators of the group modulo torsion |
j |
1136271999625/609800192 |
j-invariant |
L |
1.7509719398704 |
L(r)(E,1)/r! |
Ω |
0.38880022111271 |
Real period |
R |
0.75058768179163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41552s2 46746bb2 129850bq2 5194g2 |
Quadratic twists by: -4 -3 5 -7 |