Atkin-Lehner |
2- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
57232i |
Isogeny class |
Conductor |
57232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
1765090936225792 = 222 · 78 · 73 |
Discriminant |
Eigenvalues |
2- 0 -4 7- -6 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-66787,-6328350] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:294:1] |
Generators of the group modulo torsion |
j |
68367756969/3662848 |
j-invariant |
L |
1.826120990664 |
L(r)(E,1)/r! |
Ω |
0.29797000117671 |
Real period |
R |
3.0642698652014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999144 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7154e1 8176b1 |
Quadratic twists by: -4 -7 |