Atkin-Lehner |
2- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
56056v |
Isogeny class |
Conductor |
56056 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-99189044373875456 = -1 · 28 · 76 · 117 · 132 |
Discriminant |
Eigenvalues |
2- -1 1 7- 11- 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-141185,-25380011] |
[a1,a2,a3,a4,a6] |
Generators |
[635:11858:1] |
Generators of the group modulo torsion |
j |
-10333900063744/3293331899 |
j-invariant |
L |
4.7161242734083 |
L(r)(E,1)/r! |
Ω |
0.12117602223294 |
Real period |
R |
0.69499314574776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000169 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112112h1 1144d1 |
Quadratic twists by: -4 -7 |