Atkin-Lehner |
2+ 3- 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
102480t |
Isogeny class |
Conductor |
102480 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
105082031250000 = 24 · 32 · 512 · 72 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14175,-427500] |
[a1,a2,a3,a4,a6] |
j |
19688089269139456/6567626953125 |
j-invariant |
L |
5.3912975639768 |
L(r)(E,1)/r! |
Ω |
0.44927479043732 |
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 |
51240d1 |
Quadratic twists by: -4 |