Atkin-Lehner |
2- 3- 5- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
120060k |
Isogeny class |
Conductor |
120060 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13934592 |
Modular degree for the optimal curve |
Δ |
-2.0495193368222E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 -7 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44711472,-117117086636] |
[a1,a2,a3,a4,a6] |
Generators |
[110569364511452:10369869734320965:8539701184] |
Generators of the group modulo torsion |
j |
-52967944838767127363584/1098207806510527675 |
j-invariant |
L |
7.2870503702208 |
L(r)(E,1)/r! |
Ω |
0.029156239278931 |
Real period |
R |
20.82758999571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13340b1 |
Quadratic twists by: -3 |