Atkin-Lehner |
2- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
18800bc |
Isogeny class |
Conductor |
18800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
940000000000000 = 214 · 513 · 47 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 -1 5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39008,-2559488] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:50:1] |
Generators of the group modulo torsion |
j |
102568953241/14687500 |
j-invariant |
L |
3.656585180206 |
L(r)(E,1)/r! |
Ω |
0.34295327982102 |
Real period |
R |
2.6655126188867 |
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 |
2350i1 75200cs1 3760l1 |
Quadratic twists by: -4 8 5 |