Atkin-Lehner |
2- 3+ 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38640bv |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
1.1705508864E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3543720,-2513159568] |
[a1,a2,a3,a4,a6] |
Generators |
[-1206:2250:1] |
Generators of the group modulo torsion |
j |
1201550658189465626281/28577902500000000 |
j-invariant |
L |
4.8758936078702 |
L(r)(E,1)/r! |
Ω |
0.11019553625715 |
Real period |
R |
2.2123825399302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4830q2 115920df2 |
Quadratic twists by: -4 -3 |