Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
88200be |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
875520 |
Modular degree for the optimal curve |
Δ |
-813735980509057200 = -1 · 24 · 325 · 52 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-662970,212257465] |
[a1,a2,a3,a4,a6] |
j |
-46028377077760/1162261467 |
j-invariant |
L |
1.1279108050135 |
L(r)(E,1)/r! |
Ω |
0.28197773101538 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400dr1 88200hp1 88200bq1 |
Quadratic twists by: -3 5 -7 |