Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48552z |
Isogeny class |
Conductor |
48552 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
4.4661635663034E+23 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3275949192,72170610317820] |
[a1,a2,a3,a4,a6] |
Generators |
[26861828878:1150996115360:704969] |
Generators of the group modulo torsion |
j |
157304700372188331121828/18069292138401 |
j-invariant |
L |
6.4168029056485 |
L(r)(E,1)/r! |
Ω |
0.072690684336024 |
Real period |
R |
14.712575080407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
97104r2 2856h2 |
Quadratic twists by: -4 17 |