Atkin-Lehner |
2+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
90160r |
Isogeny class |
Conductor |
90160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-27059270000 = -1 · 24 · 54 · 76 · 23 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -2 5 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,-7909] |
[a1,a2,a3,a4,a6] |
Generators |
[597:1225:27] |
Generators of the group modulo torsion |
j |
-256/14375 |
j-invariant |
L |
4.8364515536823 |
L(r)(E,1)/r! |
Ω |
0.54174418106206 |
Real period |
R |
2.2318890176202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002883 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45080t1 1840d1 |
Quadratic twists by: -4 -7 |