Atkin-Lehner |
2- 5+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
34850r |
Isogeny class |
Conductor |
34850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-30363062500 = -1 · 22 · 56 · 172 · 412 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 4 2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,170,8297] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:85:1] |
Generators of the group modulo torsion |
j |
34965783/1943236 |
j-invariant |
L |
9.0341794921832 |
L(r)(E,1)/r! |
Ω |
0.89386558511466 |
Real period |
R |
1.26335822223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1394e2 |
Quadratic twists by: 5 |