Atkin-Lehner |
2- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
79376o |
Isogeny class |
Conductor |
79376 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
107712 |
Modular degree for the optimal curve |
Δ |
-1546813685296 = -1 · 24 · 119 · 41 |
Discriminant |
Eigenvalues |
2- 0 -3 -1 11+ -2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5324,161051] |
[a1,a2,a3,a4,a6] |
Generators |
[242:1331:8] |
Generators of the group modulo torsion |
j |
-442368/41 |
j-invariant |
L |
2.9362113871838 |
L(r)(E,1)/r! |
Ω |
0.82748191267518 |
Real period |
R |
1.7741846355361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999859655 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19844b1 79376m1 |
Quadratic twists by: -4 -11 |