Atkin-Lehner |
2- 3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
53802cc |
Isogeny class |
Conductor |
53802 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-15255734538996 = -1 · 22 · 312 · 76 · 61 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 3 1 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1994,191517] |
[a1,a2,a3,a4,a6] |
j |
-10218313/177876 |
j-invariant |
L |
2.3603906898783 |
L(r)(E,1)/r! |
Ω |
0.59009767249176 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17934b1 1098l1 |
Quadratic twists by: -3 -7 |