Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34650bq |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
278784 |
Modular degree for the optimal curve |
Δ |
-12728054465280000 = -1 · 211 · 317 · 54 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,48033,-3623859] |
[a1,a2,a3,a4,a6] |
Generators |
[8745:29922:125] |
Generators of the group modulo torsion |
j |
26898633480575/27935373312 |
j-invariant |
L |
3.3116733681658 |
L(r)(E,1)/r! |
Ω |
0.21667700103261 |
Real period |
R |
7.6419586582412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11550cq1 34650dj1 |
Quadratic twists by: -3 5 |