Atkin-Lehner |
3+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
122247a |
Isogeny class |
Conductor |
122247 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1714176 |
Modular degree for the optimal curve |
Δ |
6453280184426541 = 39 · 178 · 47 |
Discriminant |
Eigenvalues |
2 3+ -1 5 -3 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-163863,-25236853] |
[a1,a2,a3,a4,a6] |
Generators |
[-8649518750880:10375145711239:40142209024] |
Generators of the group modulo torsion |
j |
1024192512/13583 |
j-invariant |
L |
16.068328629675 |
L(r)(E,1)/r! |
Ω |
0.23748044191649 |
Real period |
R |
16.915423118639 |
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 |
122247d1 7191b1 |
Quadratic twists by: -3 17 |