Atkin-Lehner |
7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
77077f |
Isogeny class |
Conductor |
77077 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
10514088754169 = 73 · 119 · 13 |
Discriminant |
Eigenvalues |
-1 2 -2 7- 11+ 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5629,-48014] |
[a1,a2,a3,a4,a6] |
Generators |
[-10143:126359:729] |
Generators of the group modulo torsion |
j |
24389/13 |
j-invariant |
L |
5.1090946417502 |
L(r)(E,1)/r! |
Ω |
0.5857901383449 |
Real period |
R |
8.72171501067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981309 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77077c1 77077b1 |
Quadratic twists by: -7 -11 |