Atkin-Lehner |
2- 3- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
12978w |
Isogeny class |
Conductor |
12978 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
Δ |
38029804259328 = 211 · 36 · 74 · 1032 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 2 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-97358,-11664291] |
[a1,a2,a3,a4,a6] |
j |
139993197449114521/52167084032 |
j-invariant |
L |
5.9461982600541 |
L(r)(E,1)/r! |
Ω |
0.27028173909337 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103824cg2 1442b2 90846dk2 |
Quadratic twists by: -4 -3 -7 |