Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
1230h |
Isogeny class |
Conductor |
1230 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-285872742720 = -1 · 26 · 312 · 5 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -6 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1084,21840] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:70:1] |
Generators of the group modulo torsion |
j |
140859621945791/285872742720 |
j-invariant |
L |
3.6717323198394 |
L(r)(E,1)/r! |
Ω |
0.6738754267263 |
Real period |
R |
1.3621702818564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
9840l2 39360p2 3690l2 6150c2 |
Quadratic twists by: -4 8 -3 5 |