Atkin-Lehner |
5+ 7- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
128975i |
Isogeny class |
Conductor |
128975 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
21534720 |
Modular degree for the optimal curve |
Δ |
-3.6997472273589E+24 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 11- 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,24532108,79849784891] |
[a1,a2,a3,a4,a6] |
j |
104498072547106119367023/236783822550971263183 |
j-invariant |
L |
3.2852420265079 |
L(r)(E,1)/r! |
Ω |
0.05475398197414 |
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 |
5159d1 |
Quadratic twists by: 5 |