Atkin-Lehner |
2+ 5- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
70070ba |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1402801400 = 23 · 52 · 73 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 11- 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7488,-249994] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:27:1] |
Generators of the group modulo torsion |
j |
135345469650607/4089800 |
j-invariant |
L |
2.591896548021 |
L(r)(E,1)/r! |
Ω |
0.5132344868429 |
Real period |
R |
1.2625303901211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001665 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70070j2 |
Quadratic twists by: -7 |