Atkin-Lehner |
2+ 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
18018t |
Isogeny class |
Conductor |
18018 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
5376000 |
Modular degree for the optimal curve |
Δ |
6.2187804366322E+23 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 11- 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21483054,5422073044] |
[a1,a2,a3,a4,a6] |
Generators |
[-3667:188597:1] |
Generators of the group modulo torsion |
j |
1504126128204710322425569/853056301321290114048 |
j-invariant |
L |
2.6815854050521 |
L(r)(E,1)/r! |
Ω |
0.078582271951607 |
Real period |
R |
0.48749370536025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006x1 126126cv1 |
Quadratic twists by: -3 -7 |