Atkin-Lehner |
3+ 5+ 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
101775a |
Isogeny class |
Conductor |
101775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
161516925 = 32 · 52 · 233 · 59 |
Discriminant |
Eigenvalues |
2 3+ 5+ -4 3 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-468,-3697] |
[a1,a2,a3,a4,a6] |
Generators |
[-828:289:64] |
Generators of the group modulo torsion |
j |
454411079680/6460677 |
j-invariant |
L |
9.1515662784467 |
L(r)(E,1)/r! |
Ω |
1.0271518372699 |
Real period |
R |
4.4548264155339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003911 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101775s1 |
Quadratic twists by: 5 |