Atkin-Lehner |
2+ 3+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
102306a |
Isogeny class |
Conductor |
102306 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-356929184422872 = -1 · 23 · 32 · 176 · 593 |
Discriminant |
Eigenvalues |
2+ 3+ 0 1 -3 5 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-62285,-6077739] |
[a1,a2,a3,a4,a6] |
Generators |
[473683034:55404209:1643032] |
Generators of the group modulo torsion |
j |
-1107111813625/14787288 |
j-invariant |
L |
4.548568784147 |
L(r)(E,1)/r! |
Ω |
0.15098285971099 |
Real period |
R |
15.063195842227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032658 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
354b2 |
Quadratic twists by: 17 |