Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8925y |
Isogeny class |
Conductor |
8925 |
Conductor |
∏ cp |
77 |
Product of Tamagawa factors cp |
deg |
55440 |
Modular degree for the optimal curve |
Δ |
62002473023925 = 311 · 52 · 77 · 17 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -5 6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-102543,12599039] |
[a1,a2,a3,a4,a6] |
Generators |
[147:850:1] |
Generators of the group modulo torsion |
j |
4769863992106516480/2480098920957 |
j-invariant |
L |
4.3001458274624 |
L(r)(E,1)/r! |
Ω |
0.61439714447641 |
Real period |
R |
0.090895685647914 |
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 |
26775bo1 8925l1 62475u1 |
Quadratic twists by: -3 5 -7 |