Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470fp |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
80870400 |
Modular degree for the optimal curve |
Δ |
-532822255265664000 = -1 · 210 · 36 · 53 · 7 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15132885332,-716520190010569] |
[a1,a2,a3,a4,a6] |
Generators |
[3526050574917:3468102665117293:3581577] |
Generators of the group modulo torsion |
j |
-644487634439863642624729/896000 |
j-invariant |
L |
13.109405185246 |
L(r)(E,1)/r! |
Ω |
0.0068059557902201 |
Real period |
R |
21.401851863798 |
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 |
11830b1 106470u1 |
Quadratic twists by: -3 13 |