Atkin-Lehner |
2- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
29744t |
Isogeny class |
Conductor |
29744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8386560 |
Modular degree for the optimal curve |
Δ |
-6.9964671279344E+19 |
Discriminant |
Eigenvalues |
2- -2 -3 -2 11+ 13+ 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1226761592,16537796026324] |
[a1,a2,a3,a4,a6] |
j |
-361585288790756017/123904 |
j-invariant |
L |
0.46612454935145 |
L(r)(E,1)/r! |
Ω |
0.11653113733831 |
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 |
3718h1 118976df1 29744bf1 |
Quadratic twists by: -4 8 13 |