Atkin-Lehner |
7- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
65611f |
Isogeny class |
Conductor |
65611 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
4499271766171 = 76 · 135 · 103 |
Discriminant |
Eigenvalues |
1 1 -1 7- -4 13- -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6739,186295] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:575:1] [214:1163:8] |
Generators of the group modulo torsion |
j |
287626699801/38243179 |
j-invariant |
L |
12.915662324751 |
L(r)(E,1)/r! |
Ω |
0.745923735659 |
Real period |
R |
0.86574952017968 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1339a1 |
Quadratic twists by: -7 |