Atkin-Lehner |
2- 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30912ci |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-1.8312068904178E+19 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 4 3 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,582143,-114531841] |
[a1,a2,a3,a4,a6] |
j |
83228502970940543/69854999176704 |
j-invariant |
L |
2.6493070940556 |
L(r)(E,1)/r! |
Ω |
0.1204230497298 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30912g1 7728m1 92736fr1 |
Quadratic twists by: -4 8 -3 |