Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
72324s |
Isogeny class |
Conductor |
72324 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
224256 |
Modular degree for the optimal curve |
Δ |
33915506916816 = 24 · 37 · 73 · 414 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -6 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35364,2544325] |
[a1,a2,a3,a4,a6] |
Generators |
[275:3690:1] |
Generators of the group modulo torsion |
j |
1222548865024/8477283 |
j-invariant |
L |
7.3287897863583 |
L(r)(E,1)/r! |
Ω |
0.65819314676975 |
Real period |
R |
1.3918387449773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993678 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24108i1 72324l1 |
Quadratic twists by: -3 -7 |