Atkin-Lehner |
11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26741d |
Isogeny class |
Conductor |
26741 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
-2354999334428702819 = -1 · 1111 · 134 · 172 |
Discriminant |
Eigenvalues |
0 1 -1 -2 11- 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1213791,519575854] |
[a1,a2,a3,a4,a6] |
Generators |
[304:13370:1] |
Generators of the group modulo torsion |
j |
-111634825505112064/1329335729579 |
j-invariant |
L |
3.6840749636698 |
L(r)(E,1)/r! |
Ω |
0.25957368294349 |
Real period |
R |
0.88704942126006 |
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 |
2431a1 |
Quadratic twists by: -11 |