Atkin-Lehner |
2- 3- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
78120bh |
Isogeny class |
Conductor |
78120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
500270353148160000 = 211 · 37 · 54 · 78 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-215787,18180934] |
[a1,a2,a3,a4,a6] |
Generators |
[-9628:439875:64] |
Generators of the group modulo torsion |
j |
744289792996178/335079058125 |
j-invariant |
L |
6.7670550730497 |
L(r)(E,1)/r! |
Ω |
0.26408189036396 |
Real period |
R |
6.4062089452371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996317 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26040f3 |
Quadratic twists by: -3 |