Atkin-Lehner |
2+ 3+ 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
77550d |
Isogeny class |
Conductor |
77550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
333222656250 = 2 · 3 · 510 · 112 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 11- -1 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10950,-444750] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:60:1] [-59:46:1] |
Generators of the group modulo torsion |
j |
14870583025/34122 |
j-invariant |
L |
6.2829262196622 |
L(r)(E,1)/r! |
Ω |
0.46676763991306 |
Real period |
R |
6.7302504312259 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000076 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77550ch1 |
Quadratic twists by: 5 |