Atkin-Lehner |
3- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
67275r |
Isogeny class |
Conductor |
67275 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
3104640 |
Modular degree for the optimal curve |
Δ |
1.2583655543529E+22 |
Discriminant |
Eigenvalues |
-1 3- 5+ -1 -2 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6176855,2406761272] |
[a1,a2,a3,a4,a6] |
Generators |
[-2221:72985:1] [-1876:86900:1] |
Generators of the group modulo torsion |
j |
2288117440553811489/1104737935234375 |
j-invariant |
L |
6.6654708734708 |
L(r)(E,1)/r! |
Ω |
0.11253744938326 |
Real period |
R |
0.98714856105766 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7475c1 13455g1 |
Quadratic twists by: -3 5 |