Atkin-Lehner |
2- 3+ 41+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
52152d |
Isogeny class |
Conductor |
52152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-17888793532416 = -1 · 211 · 33 · 41 · 534 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 -2 5 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4208,172876] |
[a1,a2,a3,a4,a6] |
Generators |
[101:1272:1] |
Generators of the group modulo torsion |
j |
4022700896734/8734762467 |
j-invariant |
L |
3.9534269182562 |
L(r)(E,1)/r! |
Ω |
0.47910490101991 |
Real period |
R |
2.062923437979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999944 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104304e1 |
Quadratic twists by: -4 |