Atkin-Lehner |
2- 3+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
7320o |
Isogeny class |
Conductor |
7320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
87840000 = 28 · 32 · 54 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -6 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-300,2052] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:50:1] [-6:60:1] |
Generators of the group modulo torsion |
j |
11702923216/343125 |
j-invariant |
L |
4.5232591428442 |
L(r)(E,1)/r! |
Ω |
1.9043973534967 |
Real period |
R |
0.29689570394399 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14640p2 58560bd2 21960h2 36600o2 |
Quadratic twists by: -4 8 -3 5 |