Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
29744bc |
Isogeny class |
Conductor |
29744 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
681408 |
Modular degree for the optimal curve |
Δ |
-9.6201423009097E+19 |
Discriminant |
Eigenvalues |
2- 2 0 2 11- 13+ 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,904432,335979968] |
[a1,a2,a3,a4,a6] |
Generators |
[37128:1745216:27] |
Generators of the group modulo torsion |
j |
144896375/170368 |
j-invariant |
L |
8.5846985432194 |
L(r)(E,1)/r! |
Ω |
0.12673354933794 |
Real period |
R |
5.6448473904938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3718n1 118976ci1 29744p1 |
Quadratic twists by: -4 8 13 |