Atkin-Lehner |
2+ 3- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
12978o |
Isogeny class |
Conductor |
12978 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-3775079622351667392 = -1 · 26 · 39 · 710 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 2 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-241641,-104001651] |
[a1,a2,a3,a4,a6] |
j |
-2140469617845733777/5178435695955648 |
j-invariant |
L |
2.0083652103094 |
L(r)(E,1)/r! |
Ω |
0.10041826051547 |
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 |
103824bl2 4326o2 90846bj2 |
Quadratic twists by: -4 -3 -7 |