Atkin-Lehner |
2+ 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
128502m |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
262656 |
Modular degree for the optimal curve |
Δ |
-2377838016576 = -1 · 26 · 36 · 114 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 1 0 11- -7 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3834,-116748] |
[a1,a2,a3,a4,a6] |
Generators |
[348:6198:1] |
Generators of the group modulo torsion |
j |
-584043889/222784 |
j-invariant |
L |
4.2320431929024 |
L(r)(E,1)/r! |
Ω |
0.29771228191169 |
Real period |
R |
1.7769014825789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000075651 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14278j1 128502bo1 |
Quadratic twists by: -3 -11 |