Atkin-Lehner |
3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
52215g |
Isogeny class |
Conductor |
52215 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1615680 |
Modular degree for the optimal curve |
Δ |
197386467626953125 = 39 · 511 · 593 |
Discriminant |
Eigenvalues |
-2 3- 5+ 4 3 3 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1201456,-506835350] |
[a1,a2,a3,a4,a6] |
j |
933881238227234816/961083984375 |
j-invariant |
L |
2.5958039934951 |
L(r)(E,1)/r! |
Ω |
0.14421133295752 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52215f1 |
Quadratic twists by: -59 |