Atkin-Lehner |
2+ 3+ 5- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
56280f |
Isogeny class |
Conductor |
56280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-7148010240 = -1 · 28 · 35 · 5 · 73 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 5 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,55,-4083] |
[a1,a2,a3,a4,a6] |
j |
70575104/27921915 |
j-invariant |
L |
2.4849721411458 |
L(r)(E,1)/r! |
Ω |
0.62124303493267 |
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 |
112560ba1 |
Quadratic twists by: -4 |