Atkin-Lehner |
2- 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
26650p |
Isogeny class |
Conductor |
26650 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
305760 |
Modular degree for the optimal curve |
Δ |
-716079104000000 = -1 · 221 · 56 · 13 · 412 |
Discriminant |
Eigenvalues |
2- 3 5+ -3 6 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13605,-1421603] |
[a1,a2,a3,a4,a6] |
j |
-17822531769561/45829062656 |
j-invariant |
L |
8.6368785093291 |
L(r)(E,1)/r! |
Ω |
0.20563996450784 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1066c1 |
Quadratic twists by: 5 |