Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6930o |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
119872744630004520 = 23 · 39 · 5 · 712 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-592299,174808125] |
[a1,a2,a3,a4,a6] |
Generators |
[579:4782:1] |
Generators of the group modulo torsion |
j |
31522423139920199089/164434491947880 |
j-invariant |
L |
3.3987132772052 |
L(r)(E,1)/r! |
Ω |
0.33315576776726 |
Real period |
R |
1.7002623627493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440dz4 2310t4 34650da4 48510ba4 |
Quadratic twists by: -4 -3 5 -7 |