Atkin-Lehner |
2- 3+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
40248t |
Isogeny class |
Conductor |
40248 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
11112192 |
Modular degree for the optimal curve |
Δ |
-2.4073015238973E+22 |
Discriminant |
Eigenvalues |
2- 3+ 1 4 4 13- -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-938414187,11064710608902] |
[a1,a2,a3,a4,a6] |
j |
-2267180835818076947489814/597185488602079 |
j-invariant |
L |
4.0218260502958 |
L(r)(E,1)/r! |
Ω |
0.09575776310118 |
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 |
80496e1 40248d1 |
Quadratic twists by: -4 -3 |