Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
88200fv |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-525098700000000 = -1 · 28 · 37 · 58 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 5 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14700,1298500] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:1350:1] |
Generators of the group modulo torsion |
j |
-50176/75 |
j-invariant |
L |
6.8202807341929 |
L(r)(E,1)/r! |
Ω |
0.46827914147667 |
Real period |
R |
1.8205702870297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400bi1 17640m1 88200he1 |
Quadratic twists by: -3 5 -7 |