Atkin-Lehner |
7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58121c |
Isogeny class |
Conductor |
58121 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3655237474774573583 = 72 · 1910 · 233 |
Discriminant |
Eigenvalues |
1 -2 0 7- 4 6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-23406526,43584607389] |
[a1,a2,a3,a4,a6] |
Generators |
[13775913489:20068411316:4826809] |
Generators of the group modulo torsion |
j |
30144838467846390625/77695164743 |
j-invariant |
L |
5.3868790570517 |
L(r)(E,1)/r! |
Ω |
0.21604022015693 |
Real period |
R |
12.467305979156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000094 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3059b2 |
Quadratic twists by: -19 |