Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488bn |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
15482880 |
Modular degree for the optimal curve |
Δ |
-3.1253358091793E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11- -2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4707593,85148674185] |
[a1,a2,a3,a4,a6] |
Generators |
[569:287496:1] |
Generators of the group modulo torsion |
j |
-23942656868248000/6485575209206247 |
j-invariant |
L |
5.8518896841958 |
L(r)(E,1)/r! |
Ω |
0.065012689800814 |
Real period |
R |
1.1251437432997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999846857 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488cs1 51744bi1 14784y1 |
Quadratic twists by: -4 8 -7 |