Atkin-Lehner |
3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
74529bc |
Isogeny class |
Conductor |
74529 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
60854572656469683 = 37 · 78 · 136 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-58432289,-171905809890] |
[a1,a2,a3,a4,a6] |
Generators |
[-7714001536360102:3827139986192283:1747948273336] |
Generators of the group modulo torsion |
j |
53297461115137/147 |
j-invariant |
L |
4.7872718890304 |
L(r)(E,1)/r! |
Ω |
0.054605492750433 |
Real period |
R |
21.917538178462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001222 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24843d6 10647f5 441c5 |
Quadratic twists by: -3 -7 13 |