Atkin-Lehner |
3+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
26499g |
Isogeny class |
Conductor |
26499 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-51122663888571 = -1 · 33 · 1110 · 73 |
Discriminant |
Eigenvalues |
-2 3+ 1 2 11- -2 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-7300,-417066] |
[a1,a2,a3,a4,a6] |
Generators |
[2946:7307:27] |
Generators of the group modulo torsion |
j |
-24288219136/28857411 |
j-invariant |
L |
2.4791919636702 |
L(r)(E,1)/r! |
Ω |
0.24698846078493 |
Real period |
R |
2.5094208407463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79497o1 2409a1 |
Quadratic twists by: -3 -11 |