Atkin-Lehner |
2- 5+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
34850o |
Isogeny class |
Conductor |
34850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-109686563281250 = -1 · 2 · 58 · 174 · 412 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 -4 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,495,503747] |
[a1,a2,a3,a4,a6] |
j |
860085351/7019940050 |
j-invariant |
L |
3.7422314854969 |
L(r)(E,1)/r! |
Ω |
0.46777893568743 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6970b2 |
Quadratic twists by: 5 |