Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
69300bb |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.1099328206482E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44131575,112728482750] |
[a1,a2,a3,a4,a6] |
Generators |
[-4633136086:565621450247:1191016] |
Generators of the group modulo torsion |
j |
3259751350395879376/3806353980275 |
j-invariant |
L |
6.4011047610902 |
L(r)(E,1)/r! |
Ω |
0.1273507205676 |
Real period |
R |
12.565898198672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000579 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7700d4 13860o4 |
Quadratic twists by: -3 5 |