Atkin-Lehner |
2+ 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
49010b |
Isogeny class |
Conductor |
49010 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
186337996083200 = 212 · 52 · 137 · 29 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 -4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-29579,1842102] |
[a1,a2,a3,a4,a6] |
Generators |
[911:-27496:1] [-90:1988:1] |
Generators of the group modulo torsion |
j |
592915705201/38604800 |
j-invariant |
L |
4.7734887213528 |
L(r)(E,1)/r! |
Ω |
0.55784449841872 |
Real period |
R |
2.1392559821259 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3770g1 |
Quadratic twists by: 13 |