Atkin-Lehner |
2- 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
70980q |
Isogeny class |
Conductor |
70980 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
205091883360000 = 28 · 35 · 54 · 74 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22156,-1073500] |
[a1,a2,a3,a4,a6] |
Generators |
[-100:390:1] [-88:450:1] |
Generators of the group modulo torsion |
j |
2138687646352/364651875 |
j-invariant |
L |
10.943174938767 |
L(r)(E,1)/r! |
Ω |
0.39586250108792 |
Real period |
R |
0.92146262138145 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999945 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70980bc2 |
Quadratic twists by: 13 |