Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26010u |
Isogeny class |
Conductor |
26010 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
-15286889311027200 = -1 · 214 · 317 · 52 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -2 1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,20601,-5843907] |
[a1,a2,a3,a4,a6] |
Generators |
[174:1641:1] |
Generators of the group modulo torsion |
j |
4589352212399/72559411200 |
j-invariant |
L |
3.4160716263806 |
L(r)(E,1)/r! |
Ω |
0.19215520439628 |
Real period |
R |
2.2222086289006 |
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 |
8670w1 26010p1 |
Quadratic twists by: -3 17 |