Atkin-Lehner |
2- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129200by |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
-2513715200 = -1 · 214 · 52 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 1 5+ -5 -4 -7 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,152,-2252] |
[a1,a2,a3,a4,a6] |
Generators |
[12:38:1] |
Generators of the group modulo torsion |
j |
3767855/24548 |
j-invariant |
L |
2.8004583793496 |
L(r)(E,1)/r! |
Ω |
0.7218206907353 |
Real period |
R |
0.96992865714693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000308116 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16150m1 129200cr1 |
Quadratic twists by: -4 5 |