Atkin-Lehner |
2+ 3+ 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
40584c |
Isogeny class |
Conductor |
40584 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-17359156656 = -1 · 24 · 34 · 19 · 893 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -2 -1 -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-475,7648] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:89:1] |
Generators of the group modulo torsion |
j |
-742332614656/1084947291 |
j-invariant |
L |
4.4691846912619 |
L(r)(E,1)/r! |
Ω |
1.107164998876 |
Real period |
R |
0.3363835182497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81168w1 121752bg1 |
Quadratic twists by: -4 -3 |