Atkin-Lehner |
2- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
50600i |
Isogeny class |
Conductor |
50600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
-34787500000000 = -1 · 28 · 511 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 2 5+ 3 11+ 4 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16633,878637] |
[a1,a2,a3,a4,a6] |
Generators |
[12:825:1] |
Generators of the group modulo torsion |
j |
-127233534976/8696875 |
j-invariant |
L |
10.246177511045 |
L(r)(E,1)/r! |
Ω |
0.64242847678147 |
Real period |
R |
1.9936416817906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101200g1 10120c1 |
Quadratic twists by: -4 5 |