Atkin-Lehner |
2- 3+ 11+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
26598g |
Isogeny class |
Conductor |
26598 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-28852233696 = -1 · 25 · 38 · 11 · 13 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 11+ 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4257,-108993] |
[a1,a2,a3,a4,a6] |
Generators |
[193:2414:1] |
Generators of the group modulo torsion |
j |
-8531807318500753/28852233696 |
j-invariant |
L |
5.7565200454117 |
L(r)(E,1)/r! |
Ω |
0.29546441516214 |
Real period |
R |
0.97414777381107 |
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 |
79794m1 |
Quadratic twists by: -3 |