Atkin-Lehner |
3- 5+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
60225v |
Isogeny class |
Conductor |
60225 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
196992 |
Modular degree for the optimal curve |
Δ |
149410885078125 = 39 · 57 · 113 · 73 |
Discriminant |
Eigenvalues |
0 3- 5+ 0 11- -6 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-26383,-1549856] |
[a1,a2,a3,a4,a6] |
Generators |
[-112:112:1] [-806:2471:8] |
Generators of the group modulo torsion |
j |
129984832700416/9562296645 |
j-invariant |
L |
10.065066062005 |
L(r)(E,1)/r! |
Ω |
0.37633979811602 |
Real period |
R |
0.24763539916898 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12045b1 |
Quadratic twists by: 5 |