Atkin-Lehner |
2+ 3+ 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
11130b |
Isogeny class |
Conductor |
11130 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
285412377600 = 210 · 34 · 52 · 72 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5113,-140507] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:58:1] |
Generators of the group modulo torsion |
j |
14787126942253849/285412377600 |
j-invariant |
L |
2.8368174427056 |
L(r)(E,1)/r! |
Ω |
0.56523462420545 |
Real period |
R |
2.509415843636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
89040cj2 33390bt2 55650df2 77910bd2 |
Quadratic twists by: -4 -3 5 -7 |