Atkin-Lehner |
2- 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
99400n |
Isogeny class |
Conductor |
99400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-12790652218750000 = -1 · 24 · 59 · 78 · 71 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,53950,-2518875] |
[a1,a2,a3,a4,a6] |
Generators |
[11070:1164975:1] |
Generators of the group modulo torsion |
j |
69463722092544/51162608875 |
j-invariant |
L |
3.9823443317889 |
L(r)(E,1)/r! |
Ω |
0.22388872802808 |
Real period |
R |
4.4467896725873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934033 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19880c1 |
Quadratic twists by: 5 |