Atkin-Lehner |
2- 3+ 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
112530bo |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
134563787547750 = 2 · 34 · 53 · 118 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-605161356,-5730255747897] |
[a1,a2,a3,a4,a6] |
Generators |
[2344852777845277525722124540066179891156533458:276390788749853798187273374300834144536233232601:65940595204389579440590492744456643124472] |
Generators of the group modulo torsion |
j |
13835063705411752927552729/75957750 |
j-invariant |
L |
8.8122568019597 |
L(r)(E,1)/r! |
Ω |
0.030439096526213 |
Real period |
R |
72.376136583068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999870063 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230b3 |
Quadratic twists by: -11 |