Atkin-Lehner |
3+ 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
99705k |
Isogeny class |
Conductor |
99705 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4026434923581027975 = 310 · 52 · 179 · 23 |
Discriminant |
Eigenvalues |
-1 3+ 5- 2 -2 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-174161810,-884734837288] |
[a1,a2,a3,a4,a6] |
Generators |
[-3024726624403189230:1506560143471092271:396984346762375] |
Generators of the group modulo torsion |
j |
24204101895346602333889/166811948775 |
j-invariant |
L |
3.2753959855037 |
L(r)(E,1)/r! |
Ω |
0.041558639575712 |
Real period |
R |
19.703460098996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999667 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5865c2 |
Quadratic twists by: 17 |