Atkin-Lehner |
3+ 5- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
98175r |
Isogeny class |
Conductor |
98175 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
5713920 |
Modular degree for the optimal curve |
Δ |
-2.2379017607073E+20 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7- 11- -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3976708,-3134730432] |
[a1,a2,a3,a4,a6] |
Generators |
[21442:3125587:1] |
Generators of the group modulo torsion |
j |
-17804709639190958080/572902850741067 |
j-invariant |
L |
2.3953033013017 |
L(r)(E,1)/r! |
Ω |
0.053353969807516 |
Real period |
R |
0.93530344632591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005497 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98175bc1 |
Quadratic twists by: 5 |