Atkin-Lehner |
2+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
107200i |
Isogeny class |
Conductor |
107200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-1715200 = -1 · 210 · 52 · 67 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 6 -4 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,27,43] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:4:1] |
Generators of the group modulo torsion |
j |
81920/67 |
j-invariant |
L |
3.6053746421764 |
L(r)(E,1)/r! |
Ω |
1.7147113084183 |
Real period |
R |
1.0513065922642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000103835 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107200co1 6700f1 107200bk1 |
Quadratic twists by: -4 8 5 |