Atkin-Lehner |
2- 3+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
111300b |
Isogeny class |
Conductor |
111300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
999936 |
Modular degree for the optimal curve |
Δ |
-16227540000000 = -1 · 28 · 37 · 57 · 7 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 -1 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1608908,-784961688] |
[a1,a2,a3,a4,a6] |
Generators |
[2719521462633:409857708300:1856331989] |
Generators of the group modulo torsion |
j |
-115148324799160144/4056885 |
j-invariant |
L |
5.3381269163147 |
L(r)(E,1)/r! |
Ω |
0.067024986135316 |
Real period |
R |
19.910958674194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22260g1 |
Quadratic twists by: 5 |