Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11830l |
Isogeny class |
Conductor |
11830 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
591284102500 = 22 · 54 · 72 · 136 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2989,-50127] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:119:1] |
Generators of the group modulo torsion |
j |
611960049/122500 |
j-invariant |
L |
3.3643362478184 |
L(r)(E,1)/r! |
Ω |
0.65471505264103 |
Real period |
R |
1.2846566740169 |
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 |
94640cj2 106470ew2 59150bd2 82810e2 |
Quadratic twists by: -4 -3 5 -7 |