Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
69440q |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
2101388844728320 = 221 · 5 · 7 · 315 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 3 1 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-329561281,-2302889529185] |
[a1,a2,a3,a4,a6] |
Generators |
[-28411214296345170:-2056649319115:2710620272807] |
Generators of the group modulo torsion |
j |
15100535141642459644213681/8016162280 |
j-invariant |
L |
7.8076883909721 |
L(r)(E,1)/r! |
Ω |
0.035433618827603 |
Real period |
R |
22.03469092152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69440cf2 2170q2 |
Quadratic twists by: -4 8 |