Atkin-Lehner |
2+ 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
67518m |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-285373094173992 = -1 · 23 · 310 · 117 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 -3 11- -4 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3789,806845] |
[a1,a2,a3,a4,a6] |
Generators |
[113:1577:1] |
Generators of the group modulo torsion |
j |
4657463/220968 |
j-invariant |
L |
3.9961521119636 |
L(r)(E,1)/r! |
Ω |
0.41605019241688 |
Real period |
R |
1.2006219998791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985149 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22506y1 6138o1 |
Quadratic twists by: -3 -11 |