Atkin-Lehner |
3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2601k |
Isogeny class |
Conductor |
2601 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
-259351685898939 = -1 · 37 · 179 |
Discriminant |
Eigenvalues |
-2 3- 3 2 5 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,14739,354964] |
[a1,a2,a3,a4,a6] |
j |
4096/3 |
j-invariant |
L |
1.4082399617233 |
L(r)(E,1)/r! |
Ω |
0.35205999043084 |
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 |
41616cm1 867c1 65025bs1 127449bs1 |
Quadratic twists by: -4 -3 5 -7 |