Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
15300o |
Isogeny class |
Conductor |
15300 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-335772843750000 = -1 · 24 · 37 · 59 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 3 4 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12075,718625] |
[a1,a2,a3,a4,a6] |
Generators |
[40:1125:1] |
Generators of the group modulo torsion |
j |
1068359936/1842375 |
j-invariant |
L |
5.3955462396551 |
L(r)(E,1)/r! |
Ω |
0.37048800649006 |
Real period |
R |
0.91020932950899 |
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 |
61200er2 5100g2 3060n2 |
Quadratic twists by: -4 -3 5 |