Atkin-Lehner |
2+ 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38962f |
Isogeny class |
Conductor |
38962 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-6.5254605622389E+20 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ 11- -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3695101,-2997790248] |
[a1,a2,a3,a4,a6] |
j |
-3149534523783390625/368345236897792 |
j-invariant |
L |
0.86544380474883 |
L(r)(E,1)/r! |
Ω |
0.05409023779773 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3542o1 |
Quadratic twists by: -11 |