Atkin-Lehner |
2+ 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
26010x |
Isogeny class |
Conductor |
26010 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-4676106931200 = -1 · 210 · 37 · 52 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 6 1 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-104094,-12901100] |
[a1,a2,a3,a4,a6] |
j |
-2048707405729/76800 |
j-invariant |
L |
2.126336258816 |
L(r)(E,1)/r! |
Ω |
0.13289601617599 |
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 |
8670p1 26010k1 |
Quadratic twists by: -3 17 |