Atkin-Lehner |
2- 3- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
63756bb |
Isogeny class |
Conductor |
63756 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
475109712 = 24 · 36 · 7 · 11 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,-1703] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:13:1] |
Generators of the group modulo torsion |
j |
256000000/40733 |
j-invariant |
L |
7.6120122355525 |
L(r)(E,1)/r! |
Ω |
1.1594722993375 |
Real period |
R |
2.1883553519694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000534 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7084h1 |
Quadratic twists by: -3 |