Atkin-Lehner |
2- 3+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
63600bl |
Isogeny class |
Conductor |
63600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-6439500000000 = -1 · 28 · 35 · 59 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -4 -4 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-133,122137] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:125:1] [-3:350:1] |
Generators of the group modulo torsion |
j |
-65536/1609875 |
j-invariant |
L |
8.9914670023857 |
L(r)(E,1)/r! |
Ω |
0.60055110741382 |
Real period |
R |
1.8715032932624 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15900d1 12720bi1 |
Quadratic twists by: -4 5 |