Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616bv |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-1879443096887664 = -1 · 24 · 37 · 79 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 11+ 5 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19551,2336173] |
[a1,a2,a3,a4,a6] |
Generators |
[1666:21609:8] |
Generators of the group modulo torsion |
j |
-1755904/3993 |
j-invariant |
L |
9.0530734645413 |
L(r)(E,1)/r! |
Ω |
0.41555319422674 |
Real period |
R |
2.7231993375924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983653 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38808bi1 25872y1 77616bx1 |
Quadratic twists by: -4 -3 -7 |