Atkin-Lehner |
2- 3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
35868f |
Isogeny class |
Conductor |
35868 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
846720 |
Modular degree for the optimal curve |
Δ |
-588476085284844288 = -1 · 28 · 37 · 710 · 612 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 4 3 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4641933,3848059935] |
[a1,a2,a3,a4,a6] |
j |
-152967808000000/8137827 |
j-invariant |
L |
3.8385490199195 |
L(r)(E,1)/r! |
Ω |
0.27418207285196 |
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 |
107604m1 35868a1 |
Quadratic twists by: -3 -7 |