Atkin-Lehner |
2- 3- 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
42210q |
Isogeny class |
Conductor |
42210 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
155648 |
Modular degree for the optimal curve |
Δ |
2251623225600 = 28 · 37 · 52 · 74 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-90248,10457547] |
[a1,a2,a3,a4,a6] |
Generators |
[165:113:1] |
Generators of the group modulo torsion |
j |
111507590364239161/3088646400 |
j-invariant |
L |
7.758800659993 |
L(r)(E,1)/r! |
Ω |
0.76288100277065 |
Real period |
R |
0.63564964848803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14070a1 |
Quadratic twists by: -3 |