Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200gh |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
191100000000 = 28 · 3 · 58 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4908,-132312] |
[a1,a2,a3,a4,a6] |
Generators |
[501256:15650625:512] |
Generators of the group modulo torsion |
j |
3269383504/47775 |
j-invariant |
L |
9.9014677044958 |
L(r)(E,1)/r! |
Ω |
0.57088731236019 |
Real period |
R |
8.6719983729458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016816 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27300d2 21840z2 |
Quadratic twists by: -4 5 |