Atkin-Lehner |
2+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
31552k |
Isogeny class |
Conductor |
31552 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
958464 |
Modular degree for the optimal curve |
Δ |
-6.4650341669869E+19 |
Discriminant |
Eigenvalues |
2+ 0 2 -5 0 -7 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-495404,409470512] |
[a1,a2,a3,a4,a6] |
Generators |
[916:26912:1] |
Generators of the group modulo torsion |
j |
-51293497953529377/246621481589773 |
j-invariant |
L |
4.0139854596741 |
L(r)(E,1)/r! |
Ω |
0.17033149589521 |
Real period |
R |
1.3092070320412 |
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 |
31552u1 493a1 |
Quadratic twists by: -4 8 |