Atkin-Lehner |
2- 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
34476f |
Isogeny class |
Conductor |
34476 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
95851622640384 = 28 · 33 · 138 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 -2 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-414444,102831624] |
[a1,a2,a3,a4,a6] |
Generators |
[27236:117131:64] |
Generators of the group modulo torsion |
j |
6371214852688/77571 |
j-invariant |
L |
4.2774601939991 |
L(r)(E,1)/r! |
Ω |
0.54574989746968 |
Real period |
R |
7.8377663721636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103428j2 2652b2 |
Quadratic twists by: -3 13 |