Atkin-Lehner |
2- 3+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
69090bg |
Isogeny class |
Conductor |
69090 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5079069685620 = 22 · 38 · 5 · 77 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1719656,867265013] |
[a1,a2,a3,a4,a6] |
Generators |
[769:203:1] [4297:267743:1] |
Generators of the group modulo torsion |
j |
4780355839795050481/43171380 |
j-invariant |
L |
12.175717030543 |
L(r)(E,1)/r! |
Ω |
0.53359502278239 |
Real period |
R |
11.409136621108 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870t3 |
Quadratic twists by: -7 |