Atkin-Lehner |
2+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
79376b |
Isogeny class |
Conductor |
79376 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
316800 |
Modular degree for the optimal curve |
Δ |
-2600193804982576 = -1 · 24 · 119 · 413 |
Discriminant |
Eigenvalues |
2+ 2 1 -1 11+ -2 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11535,2503118] |
[a1,a2,a3,a4,a6] |
Generators |
[3099877366:86257181307:3944312] |
Generators of the group modulo torsion |
j |
-4499456/68921 |
j-invariant |
L |
10.246676184664 |
L(r)(E,1)/r! |
Ω |
0.38550424673145 |
Real period |
R |
13.289965376021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001878 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39688e1 79376d1 |
Quadratic twists by: -4 -11 |