Atkin-Lehner |
2- 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
100860g |
Isogeny class |
Conductor |
100860 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
61286400 |
Modular degree for the optimal curve |
Δ |
-2.282276647043E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -3 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3144823765,-67879457953775] |
[a1,a2,a3,a4,a6] |
Generators |
[65655:2941750:1] |
Generators of the group modulo torsion |
j |
-2828587024520876916736/18768310546875 |
j-invariant |
L |
3.8783179104014 |
L(r)(E,1)/r! |
Ω |
0.010080226899748 |
Real period |
R |
2.0038807213111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004909 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2460d1 |
Quadratic twists by: 41 |