Atkin-Lehner |
2- 3- 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
108240bo |
Isogeny class |
Conductor |
108240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1497600 |
Modular degree for the optimal curve |
Δ |
-2243325050486784000 = -1 · 225 · 34 · 53 · 115 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 5 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,315424,-23211660] |
[a1,a2,a3,a4,a6] |
Generators |
[4666:321024:1] |
Generators of the group modulo torsion |
j |
847318311153460511/547686779904000 |
j-invariant |
L |
9.6027679876517 |
L(r)(E,1)/r! |
Ω |
0.14848764028646 |
Real period |
R |
4.0419054192223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13530p1 |
Quadratic twists by: -4 |