Atkin-Lehner |
2+ 3+ 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
60258c |
Isogeny class |
Conductor |
60258 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-77509991768497992 = -1 · 23 · 38 · 118 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-181260,32508216] |
[a1,a2,a3,a4,a6] |
j |
-371772508542625/43752369672 |
j-invariant |
L |
1.3358970327275 |
L(r)(E,1)/r! |
Ω |
0.33397425725539 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5478m2 |
Quadratic twists by: -11 |