Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480ck |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
-53887680000000 = -1 · 212 · 37 · 57 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -4 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8715,-166275] |
[a1,a2,a3,a4,a6] |
Generators |
[20:125:1] |
Generators of the group modulo torsion |
j |
17869652393984/13156171875 |
j-invariant |
L |
4.5506177531553 |
L(r)(E,1)/r! |
Ω |
0.35318757756422 |
Real period |
R |
1.8406316975646 |
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 |
1155k1 73920gs1 55440dn1 92400gr1 |
Quadratic twists by: -4 8 -3 5 |