Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
59200p |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2257920 |
Modular degree for the optimal curve |
Δ |
-2.77375828E+21 |
Discriminant |
Eigenvalues |
2+ -2 5+ -3 -1 4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3090367,1432208863] |
[a1,a2,a3,a4,a6] |
Generators |
[11098:1184375:1] |
Generators of the group modulo torsion |
j |
6375052761771448/5417496640625 |
j-invariant |
L |
3.7008353427235 |
L(r)(E,1)/r! |
Ω |
0.09302927420645 |
Real period |
R |
4.9726757707653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000479 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59200n1 29600z1 11840t1 |
Quadratic twists by: -4 8 5 |