Atkin-Lehner |
2+ 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
9024v |
Isogeny class |
Conductor |
9024 |
Conductor |
∏ cp |
264 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-2.13521252469E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 2 -4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1751137,1135106687] |
[a1,a2,a3,a4,a6] |
Generators |
[-1141:40608:1] |
Generators of the group modulo torsion |
j |
-9061589884199351908/3258075751785207 |
j-invariant |
L |
5.8662883027386 |
L(r)(E,1)/r! |
Ω |
0.16726053472579 |
Real period |
R |
0.53140542835055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9024bd1 1128d1 27072p1 |
Quadratic twists by: -4 8 -3 |