Atkin-Lehner |
2- 3- 5+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
26790w |
Isogeny class |
Conductor |
26790 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-5022780373440 = -1 · 26 · 39 · 5 · 192 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-331,107825] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-355:1] |
Generators of the group modulo torsion |
j |
-4011342040369/5022780373440 |
j-invariant |
L |
8.8532872761708 |
L(r)(E,1)/r! |
Ω |
0.61885838655756 |
Real period |
R |
0.26492290956177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80370x1 |
Quadratic twists by: -3 |