Atkin-Lehner |
2- 3+ 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
42504n |
Isogeny class |
Conductor |
42504 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6743321251881984 = 210 · 34 · 74 · 112 · 234 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-80344,7851484] |
[a1,a2,a3,a4,a6] |
Generators |
[406:6480:1] |
Generators of the group modulo torsion |
j |
56013087225531748/6585274660041 |
j-invariant |
L |
3.2089964107747 |
L(r)(E,1)/r! |
Ω |
0.4071940863397 |
Real period |
R |
3.9403769829015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
85008t3 127512f3 |
Quadratic twists by: -4 -3 |