Atkin-Lehner |
2- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
75200ck |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
-6.4847759419264E+20 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 0 -5 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2161867,64390637] |
[a1,a2,a3,a4,a6] |
j |
4364861448544256/2533115602315 |
j-invariant |
L |
1.7525597759759 |
L(r)(E,1)/r! |
Ω |
0.097364433964358 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200x1 18800w1 15040bl1 |
Quadratic twists by: -4 8 5 |