Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
67600q |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1797120 |
Modular degree for the optimal curve |
Δ |
-2.205735869584E+19 |
Discriminant |
Eigenvalues |
2+ 2 5+ -3 -5 13+ 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-238008,230418512] |
[a1,a2,a3,a4,a6] |
Generators |
[-792766:36046050:2197] |
Generators of the group modulo torsion |
j |
-338/5 |
j-invariant |
L |
7.1137682967347 |
L(r)(E,1)/r! |
Ω |
0.18153003400751 |
Real period |
R |
9.7969577531582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000465 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33800h1 13520l1 67600o1 |
Quadratic twists by: -4 5 13 |