Atkin-Lehner |
2+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
107200g |
Isogeny class |
Conductor |
107200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-10720000000000 = -1 · 214 · 510 · 67 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 -4 -6 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5467,26563] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:125:1] |
Generators of the group modulo torsion |
j |
70575104/41875 |
j-invariant |
L |
2.3862422650602 |
L(r)(E,1)/r! |
Ω |
0.43946591524709 |
Real period |
R |
2.7149344163612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999953132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107200cq1 13400f1 21440g1 |
Quadratic twists by: -4 8 5 |