Atkin-Lehner |
2+ 3- 5+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
34710j |
Isogeny class |
Conductor |
34710 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
18274815000 = 23 · 35 · 54 · 132 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-155945089,749545732412] |
[a1,a2,a3,a4,a6] |
Generators |
[7366:19379:1] |
Generators of the group modulo torsion |
j |
419410033500860937578687530249/18274815000 |
j-invariant |
L |
4.5767125433206 |
L(r)(E,1)/r! |
Ω |
0.3031205850069 |
Real period |
R |
3.0197306086727 |
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 |
104130bs4 |
Quadratic twists by: -3 |