Atkin-Lehner |
2+ 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
51600t |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
-38700000000 = -1 · 28 · 32 · 58 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 -6 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-833,-12963] |
[a1,a2,a3,a4,a6] |
Generators |
[92:825:1] |
Generators of the group modulo torsion |
j |
-640000/387 |
j-invariant |
L |
5.1930027655207 |
L(r)(E,1)/r! |
Ω |
0.4323540382513 |
Real period |
R |
2.0018327212006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25800t1 51600v1 |
Quadratic twists by: -4 5 |