Atkin-Lehner |
2+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
40432l |
Isogeny class |
Conductor |
40432 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
109440 |
Modular degree for the optimal curve |
Δ |
4806755946115984 = 24 · 72 · 1910 |
Discriminant |
Eigenvalues |
2+ -1 1 7- 0 -1 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43440,-994301] |
[a1,a2,a3,a4,a6] |
Generators |
[-10076:88627:64] |
Generators of the group modulo torsion |
j |
92416/49 |
j-invariant |
L |
5.1528998167573 |
L(r)(E,1)/r! |
Ω |
0.35114725509405 |
Real period |
R |
7.3372349377749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999955 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20216h1 40432h1 |
Quadratic twists by: -4 -19 |