Atkin-Lehner |
2- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20300c |
Isogeny class |
Conductor |
20300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
271988281250000 = 24 · 512 · 74 · 29 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 6 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3775633,2825051262] |
[a1,a2,a3,a4,a6] |
j |
23809656960517881856/1087953125 |
j-invariant |
L |
3.2832537780212 |
L(r)(E,1)/r! |
Ω |
0.41040672225265 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81200br1 4060g1 |
Quadratic twists by: -4 5 |