Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784a |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
301056 |
Modular degree for the optimal curve |
Δ |
-68534262583546032 = -1 · 24 · 37 · 74 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -2 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,87317,7718086] |
[a1,a2,a3,a4,a6] |
Generators |
[1031382:-30931642:1331] |
Generators of the group modulo torsion |
j |
953312000000/887416803 |
j-invariant |
L |
4.4172361094619 |
L(r)(E,1)/r! |
Ω |
0.22726820127159 |
Real period |
R |
9.7181129710239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000236 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28392l1 4368e1 |
Quadratic twists by: -4 13 |