Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
15288g |
Isogeny class |
Conductor |
15288 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-3.7525195273326E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -3 13- 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4668344,3895057020] |
[a1,a2,a3,a4,a6] |
Generators |
[1442:12636:1] |
Generators of the group modulo torsion |
j |
-38898423529252/129730653 |
j-invariant |
L |
3.1964943558108 |
L(r)(E,1)/r! |
Ω |
0.20614706919265 |
Real period |
R |
1.292157733283 |
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 |
30576bc1 122304df1 45864br1 15288i1 |
Quadratic twists by: -4 8 -3 -7 |