Atkin-Lehner |
2- 5- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
69520bb |
Isogeny class |
Conductor |
69520 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.5059754044437E+20 |
Discriminant |
Eigenvalues |
2- -2 5- 0 11+ -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12742320,-17501657900] |
[a1,a2,a3,a4,a6] |
Generators |
[-2100:790:1] [-2070:3080:1] |
Generators of the group modulo torsion |
j |
55861079030744536741681/36766977647551250 |
j-invariant |
L |
7.7308349688729 |
L(r)(E,1)/r! |
Ω |
0.079910635217826 |
Real period |
R |
2.015489695612 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8690i2 |
Quadratic twists by: -4 |