Atkin-Lehner |
2- 3+ 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
78960cb |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4197306408960000 = 216 · 3 · 54 · 7 · 474 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47080,2412400] |
[a1,a2,a3,a4,a6] |
Generators |
[-238:282:1] [-220:1440:1] |
Generators of the group modulo torsion |
j |
2817619545260521/1024733010000 |
j-invariant |
L |
9.3000423264844 |
L(r)(E,1)/r! |
Ω |
0.40114667872452 |
Real period |
R |
5.7959113335206 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999894 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9870k3 |
Quadratic twists by: -4 |