Atkin-Lehner |
2- 3+ 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
78960cb |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2995194101760 = 216 · 34 · 5 · 74 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-321000,-69894288] |
[a1,a2,a3,a4,a6] |
Generators |
[762:11286:1] [898:19110:1] |
Generators of the group modulo torsion |
j |
893059129109889001/731248560 |
j-invariant |
L |
9.3000423264844 |
L(r)(E,1)/r! |
Ω |
0.20057333936226 |
Real period |
R |
23.183645334082 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870k4 |
Quadratic twists by: -4 |