Atkin-Lehner |
2+ 3+ 5- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
56070c |
Isogeny class |
Conductor |
56070 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1628928 |
Modular degree for the optimal curve |
Δ |
-2880230670729216000 = -1 · 228 · 39 · 53 · 72 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 6 6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1025934,408475988] |
[a1,a2,a3,a4,a6] |
Generators |
[529:3421:1] |
Generators of the group modulo torsion |
j |
-6067236530328606387/146330877952000 |
j-invariant |
L |
5.5104123257196 |
L(r)(E,1)/r! |
Ω |
0.25390966129543 |
Real period |
R |
3.6170425718395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999779 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56070p1 |
Quadratic twists by: -3 |