Atkin-Lehner |
2- 3+ 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
77550be |
Isogeny class |
Conductor |
77550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-212002312500 = -1 · 22 · 38 · 56 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 11+ -1 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1487,2531] |
[a1,a2,a3,a4,a6] |
j |
23271176375/13568148 |
j-invariant |
L |
4.8291290751237 |
L(r)(E,1)/r! |
Ω |
0.60364113919873 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3102d1 |
Quadratic twists by: 5 |