Atkin-Lehner |
2- 3- 7- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
70434bm |
Isogeny class |
Conductor |
70434 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
141312 |
Modular degree for the optimal curve |
Δ |
20127783312 = 24 · 38 · 73 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35915,-2610741] |
[a1,a2,a3,a4,a6] |
Generators |
[467:8838:1] |
Generators of the group modulo torsion |
j |
7027687792203625/27610128 |
j-invariant |
L |
11.311520950998 |
L(r)(E,1)/r! |
Ω |
0.3468020324973 |
Real period |
R |
2.7180542715775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23478f1 |
Quadratic twists by: -3 |