Atkin-Lehner |
2+ 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84270v |
Isogeny class |
Conductor |
84270 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
Δ |
1.123721393159E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 2 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-85635233,-258898033132] |
[a1,a2,a3,a4,a6] |
Generators |
[143382:-15998725:8] |
Generators of the group modulo torsion |
j |
3133472866308360289/506994714000000 |
j-invariant |
L |
8.3899637798963 |
L(r)(E,1)/r! |
Ω |
0.050172540921917 |
Real period |
R |
1.9907407397808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957609 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1590k2 |
Quadratic twists by: 53 |