Atkin-Lehner |
2+ 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38962p |
Isogeny class |
Conductor |
38962 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
8294400 |
Modular degree for the optimal curve |
Δ |
-4.5141330163773E+24 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 11- 6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-40021196,-141220105856] |
[a1,a2,a3,a4,a6] |
j |
-4001637980024799157233/2548110404539996912 |
j-invariant |
L |
2.3338836234317 |
L(r)(E,1)/r! |
Ω |
0.029173545292805 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3542k1 |
Quadratic twists by: -11 |