Atkin-Lehner |
2- 3+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
60258u |
Isogeny class |
Conductor |
60258 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-15426048 = -1 · 29 · 3 · 112 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- -3 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-294,1827] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:63:1] [9:-9:1] |
Generators of the group modulo torsion |
j |
-23231254057/127488 |
j-invariant |
L |
11.354016073889 |
L(r)(E,1)/r! |
Ω |
2.2226943987139 |
Real period |
R |
0.56758020458052 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60258g1 |
Quadratic twists by: -11 |