Atkin-Lehner |
2+ 3+ 13+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
102258b |
Isogeny class |
Conductor |
102258 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
814080 |
Modular degree for the optimal curve |
Δ |
-3966861747094272 = -1 · 28 · 33 · 13 · 193 · 235 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -1 0 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8655,-3016547] |
[a1,a2,a3,a4,a6] |
j |
2655418269537333/146920805447936 |
j-invariant |
L |
2.5257414148053 |
L(r)(E,1)/r! |
Ω |
0.21047845771289 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102258r1 |
Quadratic twists by: -3 |