Atkin-Lehner |
2+ 7- 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
77714g |
Isogeny class |
Conductor |
77714 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
324720 |
Modular degree for the optimal curve |
Δ |
-1923569856026 = -1 · 2 · 76 · 133 · 612 |
Discriminant |
Eigenvalues |
2+ -3 -3 7- 2 13- 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3029,-19097] |
[a1,a2,a3,a4,a6] |
Generators |
[39:-416:1] |
Generators of the group modulo torsion |
j |
26118765063/16350074 |
j-invariant |
L |
1.7117755349228 |
L(r)(E,1)/r! |
Ω |
0.47880133902878 |
Real period |
R |
0.59585447988279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999987836 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1586b1 |
Quadratic twists by: -7 |