Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440o |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
41839292880 = 24 · 36 · 5 · 72 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1098,9963] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:154:1] |
Generators of the group modulo torsion |
j |
12551141376/3587045 |
j-invariant |
L |
4.3583193188226 |
L(r)(E,1)/r! |
Ω |
1.0645313205019 |
Real period |
R |
1.0235300819452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999924 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27720bk1 6160c1 |
Quadratic twists by: -4 -3 |