Atkin-Lehner |
2+ 3+ 7+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
56826b |
Isogeny class |
Conductor |
56826 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-9569441574 = -1 · 2 · 39 · 72 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 11- -1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17673,908747] |
[a1,a2,a3,a4,a6] |
Generators |
[67:115:1] |
Generators of the group modulo torsion |
j |
-31015377733059/486178 |
j-invariant |
L |
5.5253351278027 |
L(r)(E,1)/r! |
Ω |
1.1843151679493 |
Real period |
R |
0.58317828703887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000239 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56826o1 |
Quadratic twists by: -3 |