Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200da |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-163384277343750000 = -1 · 24 · 39 · 515 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -3 4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14175,-19436625] |
[a1,a2,a3,a4,a6] |
j |
64012032/33203125 |
j-invariant |
L |
0.60431022781067 |
L(r)(E,1)/r! |
Ω |
0.15107755689639 |
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 |
15300b2 61200dm1 12240bd2 |
Quadratic twists by: -4 -3 5 |