Atkin-Lehner |
2- 3+ 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
80106w |
Isogeny class |
Conductor |
80106 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
2709504 |
Modular degree for the optimal curve |
Δ |
-842064745533014016 = -1 · 221 · 34 · 137 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 1 3 3 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7564190,-8010677797] |
[a1,a2,a3,a4,a6] |
Generators |
[3177:4495:1] |
Generators of the group modulo torsion |
j |
-9916328130235181929/174455783424 |
j-invariant |
L |
11.559034067505 |
L(r)(E,1)/r! |
Ω |
0.045517509657335 |
Real period |
R |
3.0231783207788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000784 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6162e1 |
Quadratic twists by: 13 |