Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640cc |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
16732751358597120 = 211 · 32 · 5 · 7 · 1110 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1631120,802339980] |
[a1,a2,a3,a4,a6] |
Generators |
[14378:484835:8] |
Generators of the group modulo torsion |
j |
132280446972242/4611915 |
j-invariant |
L |
6.3289703083783 |
L(r)(E,1)/r! |
Ω |
0.36510186288034 |
Real period |
R |
8.6674034159609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006537 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9240d3 |
Quadratic twists by: -11 |