Atkin-Lehner |
7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
77077l |
Isogeny class |
Conductor |
77077 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
875520 |
Modular degree for the optimal curve |
Δ |
-3609938775122646967 = -1 · 77 · 1110 · 132 |
Discriminant |
Eigenvalues |
1 0 2 7- 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-93011,-92039480] |
[a1,a2,a3,a4,a6] |
Generators |
[96088034551350:505023592026533:180362125000] |
Generators of the group modulo torsion |
j |
-426957777/17320303 |
j-invariant |
L |
6.9835123142215 |
L(r)(E,1)/r! |
Ω |
0.10904442858264 |
Real period |
R |
16.01070408504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002271 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11011p1 7007c1 |
Quadratic twists by: -7 -11 |