Atkin-Lehner |
2+ 3+ 5+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
108150k |
Isogeny class |
Conductor |
108150 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
496814062500 = 22 · 32 · 58 · 73 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18650,972000] |
[a1,a2,a3,a4,a6] |
Generators |
[95:215:1] [-80:1440:1] |
Generators of the group modulo torsion |
j |
45917324980129/31796100 |
j-invariant |
L |
7.5572115538562 |
L(r)(E,1)/r! |
Ω |
0.92218404786091 |
Real period |
R |
0.68290883038842 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993721 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21630y1 |
Quadratic twists by: 5 |