Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616dl |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.5519569032501E+22 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11+ -2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2328132051,-43237396195182] |
[a1,a2,a3,a4,a6] |
Generators |
[37909969937186193795099461185015833763505245285690642791044961:19715689643164755540975530346163445571940923054941275291755686784:135704541553011558030542882947266836614472577894944826953] |
Generators of the group modulo torsion |
j |
-61279455929796531/681472 |
j-invariant |
L |
8.1902367758383 |
L(r)(E,1)/r! |
Ω |
0.01086719990987 |
Real period |
R |
94.208223412727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9702l2 77616ea1 77616cv2 |
Quadratic twists by: -4 -3 -7 |