Atkin-Lehner |
2+ 3+ 29+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
36888a |
Isogeny class |
Conductor |
36888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16704 |
Modular degree for the optimal curve |
Δ |
-3288417648 = -1 · 24 · 3 · 293 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -1 1 -7 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-108,2829] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:53:1] |
Generators of the group modulo torsion |
j |
-8788000000/205526103 |
j-invariant |
L |
4.1871081169812 |
L(r)(E,1)/r! |
Ω |
1.1861429667983 |
Real period |
R |
0.88250494126438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73776c1 110664p1 |
Quadratic twists by: -4 -3 |