Atkin-Lehner |
2+ 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240eo |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1.408091897856E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5860545,5428906143] |
[a1,a2,a3,a4,a6] |
j |
84917632843343402929/537144431250000 |
j-invariant |
L |
4.4367828096419 |
L(r)(E,1)/r! |
Ω |
0.18486595140384 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240gs3 3570s4 |
Quadratic twists by: -4 8 |