Atkin-Lehner |
2- 5+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
26650n |
Isogeny class |
Conductor |
26650 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
70560 |
Modular degree for the optimal curve |
Δ |
-7386314000000 = -1 · 27 · 56 · 133 · 412 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 -2 13- 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-42313,3335031] |
[a1,a2,a3,a4,a6] |
Generators |
[171:980:1] |
Generators of the group modulo torsion |
j |
-536198730680521/472724096 |
j-invariant |
L |
6.8496674387819 |
L(r)(E,1)/r! |
Ω |
0.738598210994 |
Real period |
R |
0.22080654616197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1066a1 |
Quadratic twists by: 5 |