Atkin-Lehner |
2+ 3+ 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
10230k |
Isogeny class |
Conductor |
10230 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
309120 |
Modular degree for the optimal curve |
Δ |
-1.1449165044253E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 11- 7 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-62637,-162934371] |
[a1,a2,a3,a4,a6] |
j |
-27178619446435699801/11449165044252672000 |
j-invariant |
L |
1.5254202608567 |
L(r)(E,1)/r! |
Ω |
0.10169468405712 |
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 |
81840dd1 30690ba1 51150cl1 112530cf1 |
Quadratic twists by: -4 -3 5 -11 |