Atkin-Lehner |
2+ 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078bm |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
3.0020262936781E+25 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2867133000,-59090451306014] |
[a1,a2,a3,a4,a6] |
Generators |
[-10615234:-2235507:343] |
Generators of the group modulo torsion |
j |
540016607532350974290947137/6219484329456802404 |
j-invariant |
L |
7.3843821724061 |
L(r)(E,1)/r! |
Ω |
0.020631836853997 |
Real period |
R |
11.184750276353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971088 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6006bd3 |
Quadratic twists by: 13 |