Atkin-Lehner |
2- 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
3450o |
Isogeny class |
Conductor |
3450 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
780923025000000 = 26 · 310 · 58 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-23088,115281] |
[a1,a2,a3,a4,a6] |
j |
87109155423289/49979073600 |
j-invariant |
L |
2.5853288392572 |
L(r)(E,1)/r! |
Ω |
0.43088813987619 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27600cv2 110400cv2 10350o2 690e2 |
Quadratic twists by: -4 8 -3 5 |