Atkin-Lehner |
2+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
94640be |
Isogeny class |
Conductor |
94640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20106240 |
Modular degree for the optimal curve |
Δ |
-6.5419422621426E+23 |
Discriminant |
Eigenvalues |
2+ 3 5- 7+ -3 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14931787,44805671066] |
[a1,a2,a3,a4,a6] |
Generators |
[233142:37378835:216] |
Generators of the group modulo torsion |
j |
-81827458276332553146/145394071242004375 |
j-invariant |
L |
12.545630536738 |
L(r)(E,1)/r! |
Ω |
0.081311424199882 |
Real period |
R |
9.6431948612216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006927 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47320bl1 94640s1 |
Quadratic twists by: -4 13 |