Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
88200fq |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-140026320000000 = -1 · 210 · 36 · 57 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 0 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3675,575750] |
[a1,a2,a3,a4,a6] |
Generators |
[35:-700:1] |
Generators of the group modulo torsion |
j |
-196/5 |
j-invariant |
L |
6.1405624685242 |
L(r)(E,1)/r! |
Ω |
0.48721644500151 |
Real period |
R |
0.52513984777474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999906353 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9800a1 17640z1 88200gk1 |
Quadratic twists by: -3 5 -7 |