Atkin-Lehner |
2+ 3- 13+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
102258g |
Isogeny class |
Conductor |
102258 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
97280 |
Modular degree for the optimal curve |
Δ |
-16101953712 = -1 · 24 · 311 · 13 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 1 4 13+ 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3051,-64395] |
[a1,a2,a3,a4,a6] |
Generators |
[153:1665:1] |
Generators of the group modulo torsion |
j |
-4309261738417/22087728 |
j-invariant |
L |
7.0553469350749 |
L(r)(E,1)/r! |
Ω |
0.3210843986358 |
Real period |
R |
2.7466870638051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031315 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34086g1 |
Quadratic twists by: -3 |