Atkin-Lehner |
2- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
2950t |
Isogeny class |
Conductor |
2950 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
1080 |
Modular degree for the optimal curve |
Δ |
-184375000 = -1 · 23 · 58 · 59 |
Discriminant |
Eigenvalues |
2- -2 5- -1 -3 -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-138,892] |
[a1,a2,a3,a4,a6] |
Generators |
[6:14:1] |
Generators of the group modulo torsion |
j |
-744385/472 |
j-invariant |
L |
3.4143683193107 |
L(r)(E,1)/r! |
Ω |
1.6622278538895 |
Real period |
R |
2.054091628486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
23600bh1 94400bl1 26550be1 2950d1 |
Quadratic twists by: -4 8 -3 5 |