Atkin-Lehner |
2+ 3- 5- 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
120870j |
Isogeny class |
Conductor |
120870 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1240320 |
Modular degree for the optimal curve |
Δ |
-3272304033792000 = -1 · 219 · 37 · 53 · 172 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 3 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-348804,79425360] |
[a1,a2,a3,a4,a6] |
Generators |
[351:207:1] |
Generators of the group modulo torsion |
j |
-6437855939271317569/4488757248000 |
j-invariant |
L |
6.8191868866146 |
L(r)(E,1)/r! |
Ω |
0.44323054552238 |
Real period |
R |
1.2820993002436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028574 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40290ba1 |
Quadratic twists by: -3 |