Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480f |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
99215942918400 = 28 · 32 · 52 · 76 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41636,3248640] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:1848:1] |
Generators of the group modulo torsion |
j |
31181799673942864/387562277025 |
j-invariant |
L |
4.2380924363151 |
L(r)(E,1)/r! |
Ω |
0.60079143513194 |
Real period |
R |
0.58784854283977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9240z2 73920hz2 55440bj2 92400bz2 |
Quadratic twists by: -4 8 -3 5 |