Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
6930bg |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
354414971796732000 = 25 · 310 · 53 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1368707,-615322461] |
[a1,a2,a3,a4,a6] |
Generators |
[-663:936:1] |
Generators of the group modulo torsion |
j |
388980071198593573609/486165942108000 |
j-invariant |
L |
6.2806254849751 |
L(r)(E,1)/r! |
Ω |
0.13959007843895 |
Real period |
R |
0.37494459701887 |
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 |
55440eo4 2310a3 34650bh4 48510dh4 |
Quadratic twists by: -4 -3 5 -7 |