Atkin-Lehner |
2- 7- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
123662bg |
Isogeny class |
Conductor |
123662 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
170496 |
Modular degree for the optimal curve |
Δ |
-5132343986 = -1 · 2 · 74 · 114 · 73 |
Discriminant |
Eigenvalues |
2- 1 1 7- 11- 2 -8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5145,141659] |
[a1,a2,a3,a4,a6] |
Generators |
[350:49:8] |
Generators of the group modulo torsion |
j |
-1028760745441/350546 |
j-invariant |
L |
14.564525529949 |
L(r)(E,1)/r! |
Ω |
1.3360668866089 |
Real period |
R |
2.7252613059343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999842686 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123662b1 |
Quadratic twists by: -11 |