Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
6930g |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1378280445876180 = 22 · 38 · 5 · 72 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-426105,107150665] |
[a1,a2,a3,a4,a6] |
Generators |
[48:9293:1] |
Generators of the group modulo torsion |
j |
11736717412386894481/1890645330420 |
j-invariant |
L |
2.7268656790033 |
L(r)(E,1)/r! |
Ω |
0.46517310774813 |
Real period |
R |
0.3663778109675 |
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 |
55440dl6 2310n5 34650dn6 48510bu6 |
Quadratic twists by: -4 -3 5 -7 |