Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200cv |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1517824000000000 = -1 · 217 · 59 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11- 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8500,-1850000] |
[a1,a2,a3,a4,a6] |
Generators |
[2350:114000:1] |
Generators of the group modulo torsion |
j |
265302/5929 |
j-invariant |
L |
6.4280935799905 |
L(r)(E,1)/r! |
Ω |
0.23135668330834 |
Real period |
R |
3.4730429275179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059747 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200hj2 15400i2 123200dm2 |
Quadratic twists by: -4 8 5 |