Atkin-Lehner |
2- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
3400g |
Isogeny class |
Conductor |
3400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-1257728000 = -1 · 211 · 53 · 173 |
Discriminant |
Eigenvalues |
2- 1 5- 4 2 5 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-528,-5152] |
[a1,a2,a3,a4,a6] |
j |
-63710026/4913 |
j-invariant |
L |
2.9742387781317 |
L(r)(E,1)/r! |
Ω |
0.49570646302195 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6800g1 27200bl1 30600bd1 3400f1 |
Quadratic twists by: -4 8 -3 5 |