Atkin-Lehner |
3- 7+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
53613a |
Isogeny class |
Conductor |
53613 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6960 |
Modular degree for the optimal curve |
Δ |
-30398571 = -1 · 36 · 72 · 23 · 37 |
Discriminant |
Eigenvalues |
0 3- 1 7+ 2 0 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-12,-266] |
[a1,a2,a3,a4,a6] |
Generators |
[44:290:1] |
Generators of the group modulo torsion |
j |
-262144/41699 |
j-invariant |
L |
5.3966757920318 |
L(r)(E,1)/r! |
Ω |
0.92954603286913 |
Real period |
R |
2.9028555882359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999231 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5957a1 |
Quadratic twists by: -3 |