Atkin-Lehner |
2+ 3- 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104370bw |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2026752 |
Modular degree for the optimal curve |
Δ |
-1100200741248000000 = -1 · 213 · 3 · 56 · 79 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 2 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-28348,50496506] |
[a1,a2,a3,a4,a6] |
j |
-62429032063/27264000000 |
j-invariant |
L |
2.6817047173896 |
L(r)(E,1)/r! |
Ω |
0.22347540082781 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104370f1 |
Quadratic twists by: -7 |