Atkin-Lehner |
2+ 3- 5+ 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
120870i |
Isogeny class |
Conductor |
120870 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1214976 |
Modular degree for the optimal curve |
Δ |
-8507453226027480 = -1 · 23 · 38 · 5 · 177 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 3 -1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-266760,-53149640] |
[a1,a2,a3,a4,a6] |
j |
-2879779433708511361/11670031860120 |
j-invariant |
L |
2.9403021636329 |
L(r)(E,1)/r! |
Ω |
0.10501080291669 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40290w1 |
Quadratic twists by: -3 |