Atkin-Lehner |
2- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20300d |
Isogeny class |
Conductor |
20300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
21323881250000 = 24 · 58 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ -6 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14533,641562] |
[a1,a2,a3,a4,a6] |
j |
1357936328704/85295525 |
j-invariant |
L |
1.3376386112802 |
L(r)(E,1)/r! |
Ω |
0.66881930564011 |
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 |
81200bq1 4060c1 |
Quadratic twists by: -4 5 |