Atkin-Lehner |
3+ 5- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
14685f |
Isogeny class |
Conductor |
14685 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
7329650625 = 32 · 54 · 114 · 89 |
Discriminant |
Eigenvalues |
-1 3+ 5- -4 11- 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10470,407970] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:278:1] [-62:938:1] |
Generators of the group modulo torsion |
j |
126930604878384481/7329650625 |
j-invariant |
L |
3.8407958483512 |
L(r)(E,1)/r! |
Ω |
1.2519772495724 |
Real period |
R |
1.5338920294528 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
44055b1 73425n1 |
Quadratic twists by: -3 5 |