Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
6720u |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
825753600 = 219 · 32 · 52 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1075201,-429482401] |
[a1,a2,a3,a4,a6] |
Generators |
[2002:73797:1] |
Generators of the group modulo torsion |
j |
524388516989299201/3150 |
j-invariant |
L |
4.6634928913903 |
L(r)(E,1)/r! |
Ω |
0.14826106181062 |
Real period |
R |
7.8636508373104 |
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 |
6720bg5 210c5 20160cm5 33600l6 |
Quadratic twists by: -4 8 -3 5 |