Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470ey |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
1080 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
13437620197747200 = 29 · 37 · 52 · 75 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -5 13+ -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-85208,7802331] |
[a1,a2,a3,a4,a6] |
Generators |
[1505:56577:1] [-277:3315:1] |
Generators of the group modulo torsion |
j |
3285936081961/645388800 |
j-invariant |
L |
16.11244462596 |
L(r)(E,1)/r! |
Ω |
0.37718184084585 |
Real period |
R |
0.039553680996542 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.999999999914 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35490v1 106470cm1 |
Quadratic twists by: -3 13 |