Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
27360j |
Isogeny class |
Conductor |
27360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
5609891727441000000 = 26 · 316 · 56 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-573213,122134012] |
[a1,a2,a3,a4,a6] |
Generators |
[1452:48488:1] |
Generators of the group modulo torsion |
j |
446441237878458304/120239448890625 |
j-invariant |
L |
4.6579963123345 |
L(r)(E,1)/r! |
Ω |
0.22457778100271 |
Real period |
R |
5.1852817891613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27360v1 54720bn2 9120r1 |
Quadratic twists by: -4 8 -3 |