Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
61920o |
Isogeny class |
Conductor |
61920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
14149935489600 = 26 · 314 · 52 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20973,1154972] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:1512:1] |
Generators of the group modulo torsion |
j |
21867436817344/303282225 |
j-invariant |
L |
5.341180369528 |
L(r)(E,1)/r! |
Ω |
0.70620952963906 |
Real period |
R |
3.7815833300335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998881 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
61920bp1 123840cl2 20640s1 |
Quadratic twists by: -4 8 -3 |