Atkin-Lehner |
7- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
28567c |
Isogeny class |
Conductor |
28567 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-20956414727961251 = -1 · 714 · 11 · 532 |
Discriminant |
Eigenvalues |
2 3 1 7- 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-87367,12136969] |
[a1,a2,a3,a4,a6] |
Generators |
[-2704652874:4085580943:7762392] |
Generators of the group modulo torsion |
j |
-626870368456704/178126586099 |
j-invariant |
L |
18.779572102569 |
L(r)(E,1)/r! |
Ω |
0.36355444083218 |
Real period |
R |
12.913865155644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4081b1 |
Quadratic twists by: -7 |