Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600cx |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
6.5654106021281E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10331383,-12772227488] |
[a1,a2,a3,a4,a6] |
Generators |
[-1868:2250:1] |
Generators of the group modulo torsion |
j |
275361373935616/148240125 |
j-invariant |
L |
3.352727496553 |
L(r)(E,1)/r! |
Ω |
0.084211997440709 |
Real period |
R |
2.4883089691659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999593 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14520y1 6600g1 |
Quadratic twists by: 5 -11 |