Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
46200m |
Isogeny class |
Conductor |
46200 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
9.5713919852513E+18 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1610383,772903012] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:29700:1] |
Generators of the group modulo torsion |
j |
1847444944806639616/38285567941005 |
j-invariant |
L |
5.0263376731509 |
L(r)(E,1)/r! |
Ω |
0.22998232756611 |
Real period |
R |
1.3659575842065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999852 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
92400bs1 9240bh1 |
Quadratic twists by: -4 5 |