Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650cn |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
200103750000 = 24 · 33 · 57 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-31880,2198747] |
[a1,a2,a3,a4,a6] |
Generators |
[99:25:1] |
Generators of the group modulo torsion |
j |
8493409990827/474320 |
j-invariant |
L |
8.9177146377722 |
L(r)(E,1)/r! |
Ω |
0.94967619323238 |
Real period |
R |
0.29344589705029 |
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 |
34650a2 6930b2 |
Quadratic twists by: -3 5 |