Atkin-Lehner |
2+ 5+ 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
121040f |
Isogeny class |
Conductor |
121040 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
199249269760 = 210 · 5 · 173 · 892 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 0 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-524083,-146032062] |
[a1,a2,a3,a4,a6] |
Generators |
[6738:25347:8] |
Generators of the group modulo torsion |
j |
15546190059440616996/194579365 |
j-invariant |
L |
7.0654752087499 |
L(r)(E,1)/r! |
Ω |
0.17743918616387 |
Real period |
R |
6.6365226974003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000128005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60520h2 |
Quadratic twists by: -4 |