Atkin-Lehner |
3- 17+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
15759a |
Isogeny class |
Conductor |
15759 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-6.8358365235952E+23 |
Discriminant |
Eigenvalues |
1 3- -2 4 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,16218612,-30831642765] |
[a1,a2,a3,a4,a6] |
Generators |
[211647408059812457733191898868971092883435572329024067575696922094217519140:6927196460724564995110170689378252240559119966325016273276716153875123258055:119446622660473617779786064035051033688224102876261435138448738552894272] |
Generators of the group modulo torsion |
j |
647198081886201955184447/937700483346396767799 |
j-invariant |
L |
5.1803347134712 |
L(r)(E,1)/r! |
Ω |
0.048080898504693 |
Real period |
R |
107.74205296861 |
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 |
5253a4 |
Quadratic twists by: -3 |