Atkin-Lehner |
2+ 3+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
108576d |
Isogeny class |
Conductor |
108576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-8468928 = -1 · 26 · 33 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -4 0 -4 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3,140] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:8:1] [1:12:1] |
Generators of the group modulo torsion |
j |
1728/4901 |
j-invariant |
L |
8.4044153410021 |
L(r)(E,1)/r! |
Ω |
1.8249446560075 |
Real period |
R |
2.3026493738629 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002406 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108576v1 108576t1 |
Quadratic twists by: -4 -3 |