Atkin-Lehner |
3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
49725o |
Isogeny class |
Conductor |
49725 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-94019688140625 = -1 · 36 · 56 · 134 · 172 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 6 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12267,-697734] |
[a1,a2,a3,a4,a6] |
j |
-17923019113/8254129 |
j-invariant |
L |
3.5504211492736 |
L(r)(E,1)/r! |
Ω |
0.22190132182271 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5525e2 1989c2 |
Quadratic twists by: -3 5 |