Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
67626o |
Isogeny class |
Conductor |
67626 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1096704 |
Modular degree for the optimal curve |
Δ |
-871452176583481974 = -1 · 2 · 37 · 134 · 178 |
Discriminant |
Eigenvalues |
2+ 3- -1 -4 5 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-457830,-127299438] |
[a1,a2,a3,a4,a6] |
Generators |
[5829:438936:1] |
Generators of the group modulo torsion |
j |
-2086979041/171366 |
j-invariant |
L |
3.5059398583967 |
L(r)(E,1)/r! |
Ω |
0.091339169820581 |
Real period |
R |
4.7979687476673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001428 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22542z1 67626f1 |
Quadratic twists by: -3 17 |