Atkin-Lehner |
2+ 3- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
12978o |
Isogeny class |
Conductor |
12978 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
3768273614278656 = 212 · 312 · 75 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 2 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-319401,-69336243] |
[a1,a2,a3,a4,a6] |
j |
4943172466708284817/5169099608064 |
j-invariant |
L |
2.0083652103094 |
L(r)(E,1)/r! |
Ω |
0.20083652103094 |
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 |
103824bl1 4326o1 90846bj1 |
Quadratic twists by: -4 -3 -7 |