Atkin-Lehner |
2- 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800fl |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2534400 |
Modular degree for the optimal curve |
Δ |
-144692244675000000 = -1 · 26 · 33 · 58 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11+ -1 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-54503083,-154856263463] |
[a1,a2,a3,a4,a6] |
Generators |
[15891497404819597065914347065257474414953513295236320:2155426093167792199801350684711413820134162862024706217:746149110197342474219504386360878730357800365125] |
Generators of the group modulo torsion |
j |
-716220782494793351680/5787689787 |
j-invariant |
L |
4.3807013453822 |
L(r)(E,1)/r! |
Ω |
0.027782050145591 |
Real period |
R |
78.840498135043 |
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 |
52800hv1 26400bc1 52800gj1 |
Quadratic twists by: -4 8 5 |