Atkin-Lehner |
3+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
77319d |
Isogeny class |
Conductor |
77319 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
131328 |
Modular degree for the optimal curve |
Δ |
-852416227773 = -1 · 39 · 112 · 713 |
Discriminant |
Eigenvalues |
-1 3+ -2 -4 11- -4 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1429,-39608] |
[a1,a2,a3,a4,a6] |
Generators |
[94:911:1] |
Generators of the group modulo torsion |
j |
135590301/357911 |
j-invariant |
L |
0.78682734104592 |
L(r)(E,1)/r! |
Ω |
0.4582932077466 |
Real period |
R |
0.28614408435156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999990783 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77319a1 77319c1 |
Quadratic twists by: -3 -11 |