Atkin-Lehner |
2+ 3- 7+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67158m |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-2.9186905970998E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -2 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5059251,-4386474891] |
[a1,a2,a3,a4,a6] |
Generators |
[116334:13791123:8] |
Generators of the group modulo torsion |
j |
-19645130164017251655217/40036908053495808 |
j-invariant |
L |
4.7229526620497 |
L(r)(E,1)/r! |
Ω |
0.050326295244461 |
Real period |
R |
7.8205515938251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000477 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22386v1 |
Quadratic twists by: -3 |