Atkin-Lehner |
2+ 3- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
31434j |
Isogeny class |
Conductor |
31434 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
282906 = 2 · 33 · 132 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 3 -3 -2 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17,2] |
[a1,a2,a3,a4,a6] |
Generators |
[0:1:1] |
Generators of the group modulo torsion |
j |
2950753/1674 |
j-invariant |
L |
5.4271725215998 |
L(r)(E,1)/r! |
Ω |
2.6532148473522 |
Real period |
R |
0.68183604090911 |
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 |
94302ci1 31434t1 |
Quadratic twists by: -3 13 |