Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616gc |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-41769663928789104 = -1 · 24 · 39 · 77 · 115 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11- 1 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6027,-9831409] |
[a1,a2,a3,a4,a6] |
Generators |
[350:5929:1] |
Generators of the group modulo torsion |
j |
17643776/30438639 |
j-invariant |
L |
6.0879012265546 |
L(r)(E,1)/r! |
Ω |
0.16816101812769 |
Real period |
R |
0.90507022612199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975118 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19404n1 25872bh1 11088bw1 |
Quadratic twists by: -4 -3 -7 |