Atkin-Lehner |
3+ 7- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
117453f |
Isogeny class |
Conductor |
117453 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
810021905642918283 = 3 · 77 · 178 · 47 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 0 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-343197,-64280112] |
[a1,a2,a3,a4,a6] |
Generators |
[-1778:9195:8] |
Generators of the group modulo torsion |
j |
37998460338181057/6885072594267 |
j-invariant |
L |
2.9952143821575 |
L(r)(E,1)/r! |
Ω |
0.19970770099137 |
Real period |
R |
7.4989955076995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000025702 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16779m4 |
Quadratic twists by: -7 |