Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85176h |
Isogeny class |
Conductor |
85176 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
6773760 |
Modular degree for the optimal curve |
Δ |
-3.5204460694276E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 1 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12917853,22261352958] |
[a1,a2,a3,a4,a6] |
j |
1225217998314/1809323971 |
j-invariant |
L |
3.6398710422839 |
L(r)(E,1)/r! |
Ω |
0.064997697758816 |
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 |
85176bm1 6552n1 |
Quadratic twists by: -3 13 |