Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400fa |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-1505907200000000 = -1 · 215 · 58 · 76 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 5 0 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40833,-3670463] |
[a1,a2,a3,a4,a6] |
Generators |
[1167:39200:1] |
Generators of the group modulo torsion |
j |
-5000 |
j-invariant |
L |
4.7344806033431 |
L(r)(E,1)/r! |
Ω |
0.16613506465012 |
Real period |
R |
2.3748150386556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000759 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400er1 39200cu1 78400bh1 1600i1 |
Quadratic twists by: -4 8 5 -7 |