Atkin-Lehner |
2- 3+ 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
60258r |
Isogeny class |
Conductor |
60258 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
139392 |
Modular degree for the optimal curve |
Δ |
-7045547700708 = -1 · 22 · 32 · 119 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -2 1 11+ -1 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5629,-209065] |
[a1,a2,a3,a4,a6] |
j |
-8365427/2988 |
j-invariant |
L |
2.165878861465 |
L(r)(E,1)/r! |
Ω |
0.27073485728524 |
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 |
60258a1 |
Quadratic twists by: -11 |