Atkin-Lehner |
2- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
107200cr |
Isogeny class |
Conductor |
107200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
-10720000000000 = -1 · 214 · 510 · 67 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 -4 0 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3333,-172963] |
[a1,a2,a3,a4,a6] |
Generators |
[37564755822287848:459945475376597301:214018887850496] |
Generators of the group modulo torsion |
j |
-25600/67 |
j-invariant |
L |
7.9947912001965 |
L(r)(E,1)/r! |
Ω |
0.2920751875162 |
Real period |
R |
27.37237376507 |
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 |
107200f1 26800d1 107200db1 |
Quadratic twists by: -4 8 5 |