Atkin-Lehner |
2- 3- 7- 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
119574bi |
Isogeny class |
Conductor |
119574 |
Conductor |
∏ cp |
550 |
Product of Tamagawa factors cp |
deg |
2534400 |
Modular degree for the optimal curve |
Δ |
-1.8363314257433E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 13- 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,59845,-206111829] |
[a1,a2,a3,a4,a6] |
Generators |
[1307:-46518:1] |
Generators of the group modulo torsion |
j |
32515212838484375/25189731491678208 |
j-invariant |
L |
10.848049028237 |
L(r)(E,1)/r! |
Ω |
0.10167888758013 |
Real period |
R |
0.19398053857628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000066546 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39858c1 |
Quadratic twists by: -3 |