Atkin-Lehner |
5+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116365a |
Isogeny class |
Conductor |
116365 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7223040 |
Modular degree for the optimal curve |
Δ |
3.5803511478083E+22 |
Discriminant |
Eigenvalues |
0 1 5+ -1 -3 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-35916171,-82358487089] |
[a1,a2,a3,a4,a6] |
Generators |
[-235292:171093:64] |
Generators of the group modulo torsion |
j |
1997024861879566336/13954532078125 |
j-invariant |
L |
3.4765885522001 |
L(r)(E,1)/r! |
Ω |
0.061696416388888 |
Real period |
R |
3.521870446857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999519297 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3145b1 |
Quadratic twists by: 37 |