Atkin-Lehner |
2+ 3+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
10230f |
Isogeny class |
Conductor |
10230 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1175040 |
Modular degree for the optimal curve |
Δ |
-1.3762343882199E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 11- -2 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,9505062,13836932892] |
[a1,a2,a3,a4,a6] |
Generators |
[1171521:3550768722:29791] |
Generators of the group modulo torsion |
j |
94970451538205961115211351/137623438821988460701800 |
j-invariant |
L |
2.8900267791995 |
L(r)(E,1)/r! |
Ω |
0.070202877048791 |
Real period |
R |
3.4305654562549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81840cu1 30690bn1 51150cn1 112530bu1 |
Quadratic twists by: -4 -3 5 -11 |