Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
5100g |
Isogeny class |
Conductor |
5100 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-460593750000 = -1 · 24 · 3 · 59 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -3 4 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1342,-27063] |
[a1,a2,a3,a4,a6] |
Generators |
[52:425:1] |
Generators of the group modulo torsion |
j |
1068359936/1842375 |
j-invariant |
L |
3.3363998191359 |
L(r)(E,1)/r! |
Ω |
0.49211626108067 |
Real period |
R |
0.37664991012594 |
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 |
20400dj2 81600dp2 15300o2 1020e2 |
Quadratic twists by: -4 8 -3 5 |