Atkin-Lehner |
3+ 5- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
58905j |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
838656 |
Modular degree for the optimal curve |
Δ |
-443728948974609375 = -1 · 33 · 514 · 7 · 113 · 172 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 11- -6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,90163,30285236] |
[a1,a2,a3,a4,a6] |
Generators |
[-194:2434:1] [-84:4744:1] |
Generators of the group modulo torsion |
j |
3002268464203040397/16434405517578125 |
j-invariant |
L |
6.6056862495272 |
L(r)(E,1)/r! |
Ω |
0.21436264622043 |
Real period |
R |
0.73370172840084 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999907 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58905a1 |
Quadratic twists by: -3 |