Atkin-Lehner |
2- 5+ 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
11590k |
Isogeny class |
Conductor |
11590 |
Conductor |
∏ cp |
99 |
Product of Tamagawa factors cp |
deg |
1211760 |
Modular degree for the optimal curve |
Δ |
4.5477797073865E+20 |
Discriminant |
Eigenvalues |
2- -1 5+ 0 4 0 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-135914876,609828420573] |
[a1,a2,a3,a4,a6] |
Generators |
[-3971:1044553:1] |
Generators of the group modulo torsion |
j |
277667271080679643206964659649/454777970738646976000 |
j-invariant |
L |
5.3874344282767 |
L(r)(E,1)/r! |
Ω |
0.14236271507562 |
Real period |
R |
0.38225268146681 |
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 |
92720k1 104310bf1 57950k1 |
Quadratic twists by: -4 -3 5 |