Atkin-Lehner |
2+ 3+ 7- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
112518f |
Isogeny class |
Conductor |
112518 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-4725756 = -1 · 22 · 33 · 72 · 19 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,42,0] |
[a1,a2,a3,a4,a6] |
Generators |
[1:6:1] [14:63:8] |
Generators of the group modulo torsion |
j |
299418309/175028 |
j-invariant |
L |
7.5478454137951 |
L(r)(E,1)/r! |
Ω |
1.4765072463116 |
Real period |
R |
2.5559798067916 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112518t1 |
Quadratic twists by: -3 |