Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240hy |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
-6.6613344E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-872865,503004225] |
[a1,a2,a3,a4,a6] |
Generators |
[-515:28560:1] |
Generators of the group modulo torsion |
j |
-561119707443442898/508219482421875 |
j-invariant |
L |
4.4015898334781 |
L(r)(E,1)/r! |
Ω |
0.17880449417475 |
Real period |
R |
1.0256989065763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000121536 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114240ek3 28560bm3 |
Quadratic twists by: -4 8 |