Atkin-Lehner |
2+ 3+ 7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18354d |
Isogeny class |
Conductor |
18354 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1267200 |
Modular degree for the optimal curve |
Δ |
-1.8206854322302E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 2 7 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1190101,2112385261] |
[a1,a2,a3,a4,a6] |
Generators |
[471:40466:1] |
Generators of the group modulo torsion |
j |
-186412805526685980326617/1820685432230184941568 |
j-invariant |
L |
3.1073933437094 |
L(r)(E,1)/r! |
Ω |
0.12676761370308 |
Real period |
R |
6.1281293639156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55062br1 128478bh1 |
Quadratic twists by: -3 -7 |