Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462bd |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
681408 |
Modular degree for the optimal curve |
Δ |
-1.7121786468172E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11- 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,508743,141741549] |
[a1,a2,a3,a4,a6] |
Generators |
[507:22764:1] |
Generators of the group modulo torsion |
j |
144896375/170368 |
j-invariant |
L |
3.8221263079474 |
L(r)(E,1)/r! |
Ω |
0.14633929765123 |
Real period |
R |
4.3530416063815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3718n1 33462ce1 |
Quadratic twists by: -3 13 |