Atkin-Lehner |
2- 3- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
112464bo |
Isogeny class |
Conductor |
112464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-9.5074637825201E+18 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,372741,-119732438] |
[a1,a2,a3,a4,a6] |
Generators |
[6480655333060580280:-11234005323018408091427:2156689088000] |
Generators of the group modulo torsion |
j |
1918040326417223/3184030384128 |
j-invariant |
L |
8.2027339999789 |
L(r)(E,1)/r! |
Ω |
0.12116683152069 |
Real period |
R |
33.848924899361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047672 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14058f1 37488y1 |
Quadratic twists by: -4 -3 |