Atkin-Lehner |
2+ 3- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
99600bc |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-216086083603200 = -1 · 28 · 310 · 52 · 833 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -5 -6 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-308,707148] |
[a1,a2,a3,a4,a6] |
Generators |
[202:2988:1] |
Generators of the group modulo torsion |
j |
-506530000/33763450563 |
j-invariant |
L |
5.0976074440081 |
L(r)(E,1)/r! |
Ω |
0.44742757476664 |
Real period |
R |
0.18988575845922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999619428 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49800d1 99600l1 |
Quadratic twists by: -4 5 |