Atkin-Lehner |
2+ 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
78200j |
Isogeny class |
Conductor |
78200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
-413678000 = -1 · 24 · 53 · 17 · 233 |
Discriminant |
Eigenvalues |
2+ -1 5- 0 5 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-203,1552] |
[a1,a2,a3,a4,a6] |
Generators |
[11:23:1] |
Generators of the group modulo torsion |
j |
-464857088/206839 |
j-invariant |
L |
5.0272358380856 |
L(r)(E,1)/r! |
Ω |
1.5721638916171 |
Real period |
R |
0.26647114983164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980299 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78200z1 |
Quadratic twists by: 5 |