Atkin-Lehner |
2- 3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68880cc |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2304000 |
Modular degree for the optimal curve |
Δ |
-1.7304445306891E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 3 0 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6167701,5927487299] |
[a1,a2,a3,a4,a6] |
Generators |
[1574:11025:1] |
Generators of the group modulo torsion |
j |
-6334812566762194468864/42247180925026875 |
j-invariant |
L |
7.4116339920148 |
L(r)(E,1)/r! |
Ω |
0.18171902517993 |
Real period |
R |
2.0393115097185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000445 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4305a1 |
Quadratic twists by: -4 |