Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920ha |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
720208843200 = 26 · 312 · 52 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28476,-1858626] |
[a1,a2,a3,a4,a6] |
Generators |
[225:1782:1] |
Generators of the group modulo torsion |
j |
39902117402149696/11253263175 |
j-invariant |
L |
7.269547467029 |
L(r)(E,1)/r! |
Ω |
0.3675241550678 |
Real period |
R |
1.648315121203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000773 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920ed1 36960bl4 |
Quadratic twists by: -4 8 |