Atkin-Lehner |
2+ 5+ 17- 103- |
Signs for the Atkin-Lehner involutions |
Class |
17510d |
Isogeny class |
Conductor |
17510 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-3.2489508143806E+24 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 0 -1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-112453509,-467124788304] |
[a1,a2,a3,a4,a6] |
Generators |
[162971388136416326322889174375667495954291467977010056183690:17024685969902623501221641251017913755009121166217669823775047:8821958303676239304093025406396546541124622613742077336] |
Generators of the group modulo torsion |
j |
-157268861084180619162202841929/3248950814380604260352000 |
j-invariant |
L |
4.2664412295085 |
L(r)(E,1)/r! |
Ω |
0.023152340258892 |
Real period |
R |
92.138444360283 |
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 |
87550k2 |
Quadratic twists by: 5 |