Atkin-Lehner |
2- 3+ 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38640bv |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
2836188364800000 = 228 · 3 · 55 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3523240,-2544256400] |
[a1,a2,a3,a4,a6] |
Generators |
[-29265:550:27] |
Generators of the group modulo torsion |
j |
1180838681727016392361/692428800000 |
j-invariant |
L |
4.8758936078702 |
L(r)(E,1)/r! |
Ω |
0.11019553625715 |
Real period |
R |
4.4247650798604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830q1 115920df1 |
Quadratic twists by: -4 -3 |