Atkin-Lehner |
2+ 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
18600d |
Isogeny class |
Conductor |
18600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-5649750000 = -1 · 24 · 36 · 56 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 -4 2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2408,46437] |
[a1,a2,a3,a4,a6] |
Generators |
[26:27:1] |
Generators of the group modulo torsion |
j |
-6179217664/22599 |
j-invariant |
L |
4.7001154817803 |
L(r)(E,1)/r! |
Ω |
1.3578512791012 |
Real period |
R |
0.865359033445 |
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 |
37200y1 55800bu1 744g1 |
Quadratic twists by: -4 -3 5 |