Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
69300i |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
77480172000000 = 28 · 33 · 56 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16575,703750] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:1050:1] |
Generators of the group modulo torsion |
j |
4662947952/717409 |
j-invariant |
L |
6.6176037230744 |
L(r)(E,1)/r! |
Ω |
0.58537401145825 |
Real period |
R |
0.94207628980737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001063 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69300k2 2772a2 |
Quadratic twists by: -3 5 |