Atkin-Lehner |
3+ 5+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
52725d |
Isogeny class |
Conductor |
52725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
66048 |
Modular degree for the optimal curve |
Δ |
-4448671875 = -1 · 34 · 57 · 19 · 37 |
Discriminant |
Eigenvalues |
2 3+ 5+ 2 -1 -2 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-6158,188093] |
[a1,a2,a3,a4,a6] |
Generators |
[346:221:8] |
Generators of the group modulo torsion |
j |
-1653077684224/284715 |
j-invariant |
L |
11.061862266338 |
L(r)(E,1)/r! |
Ω |
1.3358716812517 |
Real period |
R |
1.0350790444192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999683 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10545d1 |
Quadratic twists by: 5 |