Atkin-Lehner |
2+ 3- 13- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
102258n |
Isogeny class |
Conductor |
102258 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
76484280132 = 22 · 311 · 13 · 192 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 -2 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13509,-600831] |
[a1,a2,a3,a4,a6] |
j |
374010566733649/104916708 |
j-invariant |
L |
0.88568533055647 |
L(r)(E,1)/r! |
Ω |
0.44284276960852 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34086i1 |
Quadratic twists by: -3 |