Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480dd |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
700 |
Product of Tamagawa factors cp |
Δ |
3.0266017642962E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-98619500,375994125000] |
[a1,a2,a3,a4,a6] |
Generators |
[175:598950:1] |
Generators of the group modulo torsion |
j |
414354576760345737269208016/1182266314178222109375 |
j-invariant |
L |
6.7234264344668 |
L(r)(E,1)/r! |
Ω |
0.097346755575796 |
Real period |
R |
0.3946672839611 |
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 |
4620e2 73920ef2 55440cw2 92400er2 |
Quadratic twists by: -4 8 -3 5 |