Atkin-Lehner |
2+ 3+ 7- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
23478f |
Isogeny class |
Conductor |
23478 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17664 |
Modular degree for the optimal curve |
Δ |
27610128 = 24 · 32 · 73 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -2 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3990,95364] |
[a1,a2,a3,a4,a6] |
Generators |
[33:15:1] |
Generators of the group modulo torsion |
j |
7027687792203625/27610128 |
j-invariant |
L |
2.9774492307087 |
L(r)(E,1)/r! |
Ω |
1.8503512485719 |
Real period |
R |
0.53637550041859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70434bm1 |
Quadratic twists by: -3 |