Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6930o |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
1747265924250 = 2 · 37 · 53 · 74 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-47916009,127676162763] |
[a1,a2,a3,a4,a6] |
Generators |
[4039:2615:1] |
Generators of the group modulo torsion |
j |
16689299266861680229173649/2396798250 |
j-invariant |
L |
3.3987132772052 |
L(r)(E,1)/r! |
Ω |
0.33315576776726 |
Real period |
R |
5.100787088248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
55440dz7 2310t7 34650da7 48510ba7 |
Quadratic twists by: -4 -3 5 -7 |