Atkin-Lehner |
2- 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
114660by |
Isogeny class |
Conductor |
114660 |
Conductor |
∏ cp |
1440 |
Product of Tamagawa factors cp |
deg |
4976640 |
Modular degree for the optimal curve |
Δ |
-1.3040265569244E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2246748,1156886521] |
[a1,a2,a3,a4,a6] |
Generators |
[3346:-372645:8] [-280:22491:1] |
Generators of the group modulo torsion |
j |
914010221133824/950278021875 |
j-invariant |
L |
12.584207647827 |
L(r)(E,1)/r! |
Ω |
0.10098190768326 |
Real period |
R |
0.34616232908767 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987761 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38220z1 16380e1 |
Quadratic twists by: -3 -7 |