Atkin-Lehner |
2- 3- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
103824ch |
Isogeny class |
Conductor |
103824 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
-325653275308032 = -1 · 212 · 38 · 76 · 103 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -2 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13683,-1064590] |
[a1,a2,a3,a4,a6] |
j |
-94881210481/109060623 |
j-invariant |
L |
2.5356015377022 |
L(r)(E,1)/r! |
Ω |
0.2113001245962 |
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 |
6489c1 34608r1 |
Quadratic twists by: -4 -3 |