Atkin-Lehner |
7- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
66101i |
Isogeny class |
Conductor |
66101 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
216576 |
Modular degree for the optimal curve |
Δ |
-1034303301017 = -1 · 79 · 192 · 71 |
Discriminant |
Eigenvalues |
-1 -1 2 7- -5 3 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-142297,-20719896] |
[a1,a2,a3,a4,a6] |
Generators |
[1284:43124:1] |
Generators of the group modulo torsion |
j |
-2708462924931457/8791433 |
j-invariant |
L |
3.5960560760901 |
L(r)(E,1)/r! |
Ω |
0.12290527489856 |
Real period |
R |
7.3146902749667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999777 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9443c1 |
Quadratic twists by: -7 |