Atkin-Lehner |
3+ 5+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
9435c |
Isogeny class |
Conductor |
9435 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8832 |
Modular degree for the optimal curve |
Δ |
515858625 = 38 · 53 · 17 · 37 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 -6 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1611,-25536] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:15:1] [146:1623:1] |
Generators of the group modulo torsion |
j |
462409962282289/515858625 |
j-invariant |
L |
2.937567503825 |
L(r)(E,1)/r! |
Ω |
0.75362163146078 |
Real period |
R |
7.7958683275333 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28305i1 47175l1 |
Quadratic twists by: -3 5 |