Atkin-Lehner |
2+ 3+ 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
72624b |
Isogeny class |
Conductor |
72624 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
59261184 = 28 · 32 · 172 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 4 -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-244,1504] |
[a1,a2,a3,a4,a6] |
Generators |
[4:24:1] |
Generators of the group modulo torsion |
j |
6301325392/231489 |
j-invariant |
L |
4.8979968203794 |
L(r)(E,1)/r! |
Ω |
1.961606103134 |
Real period |
R |
1.2484659413974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999579 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36312i1 |
Quadratic twists by: -4 |