Atkin-Lehner |
2- 3- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
121128z |
Isogeny class |
Conductor |
121128 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
247104 |
Modular degree for the optimal curve |
Δ |
700943752656 = 24 · 311 · 74 · 103 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -4 5 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10551,-418734] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:27:1] |
Generators of the group modulo torsion |
j |
3381688489984/18246141 |
j-invariant |
L |
8.1337767520374 |
L(r)(E,1)/r! |
Ω |
0.4712092394955 |
Real period |
R |
0.78461348548082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035197 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121128w1 |
Quadratic twists by: -7 |