Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400bx |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-96378060800 = -1 · 215 · 52 · 76 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -5 0 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1633,30017] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:196:1] [-19:232:1] |
Generators of the group modulo torsion |
j |
-5000 |
j-invariant |
L |
8.7846607532606 |
L(r)(E,1)/r! |
Ω |
1.0228519815971 |
Real period |
R |
1.0735498526759 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400bh1 39200bu1 78400er1 1600b1 |
Quadratic twists by: -4 8 5 -7 |