Atkin-Lehner |
2- 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
65700f |
Isogeny class |
Conductor |
65700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2069760 |
Modular degree for the optimal curve |
Δ |
-37708927596000000 = -1 · 28 · 317 · 56 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 -4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10999200,-14040735500] |
[a1,a2,a3,a4,a6] |
Generators |
[7825244348431275681886974023884087868808990603711504139:1916117812602504425036299092944756131038389691527307173349:130106398549471136943540480396032984964807329076119] |
Generators of the group modulo torsion |
j |
-50468394519494656/12931731 |
j-invariant |
L |
7.2012312370488 |
L(r)(E,1)/r! |
Ω |
0.041450452657108 |
Real period |
R |
86.865531923375 |
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 |
21900g1 2628b1 |
Quadratic twists by: -3 5 |