Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12720t |
Isogeny class |
Conductor |
12720 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-218427840000000000 = -1 · 215 · 35 · 510 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,110680,17420400] |
[a1,a2,a3,a4,a6] |
Generators |
[130:5830:1] |
Generators of the group modulo torsion |
j |
36607265722975319/53327109375000 |
j-invariant |
L |
4.4104883647054 |
L(r)(E,1)/r! |
Ω |
0.21369099753668 |
Real period |
R |
2.0639560934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1590i2 50880dn2 38160bn2 63600cx2 |
Quadratic twists by: -4 8 -3 5 |