Atkin-Lehner |
2- 3- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
111300v |
Isogeny class |
Conductor |
111300 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
deg |
601344 |
Modular degree for the optimal curve |
Δ |
-5120364947670000 = -1 · 24 · 312 · 54 · 73 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11542,-3405687] |
[a1,a2,a3,a4,a6] |
Generators |
[154:1431:1] |
Generators of the group modulo torsion |
j |
17003146400000/512036494767 |
j-invariant |
L |
10.069794513347 |
L(r)(E,1)/r! |
Ω |
0.20796346719716 |
Real period |
R |
0.67251358602877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003009 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
111300c1 |
Quadratic twists by: 5 |