Atkin-Lehner |
2- 3- 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
67860g |
Isogeny class |
Conductor |
67860 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
45619200 |
Modular degree for the optimal curve |
Δ |
-1.0528936948438E+27 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 3 13+ -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1002862488,12323200239412] |
[a1,a2,a3,a4,a6] |
Generators |
[22993399:522361467:1331] |
Generators of the group modulo torsion |
j |
-597696040869577536732798976/5641791489003680404875 |
j-invariant |
L |
4.6498835500441 |
L(r)(E,1)/r! |
Ω |
0.049406490684251 |
Real period |
R |
11.764353947113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001054 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22620j1 |
Quadratic twists by: -3 |