Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800nq |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-1872809164800 = -1 · 221 · 36 · 52 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2580,42320] |
[a1,a2,a3,a4,a6] |
j |
397535/392 |
j-invariant |
L |
2.1937926399726 |
L(r)(E,1)/r! |
Ω |
0.54844813085155 |
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 |
100800dp1 25200en1 11200cm1 100800ox1 |
Quadratic twists by: -4 8 -3 5 |