Atkin-Lehner |
2- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
85400bg |
Isogeny class |
Conductor |
85400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
21312 |
Modular degree for the optimal curve |
Δ |
-260470000 = -1 · 24 · 54 · 7 · 612 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 3 4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,25,775] |
[a1,a2,a3,a4,a6] |
Generators |
[45:305:1] |
Generators of the group modulo torsion |
j |
172800/26047 |
j-invariant |
L |
7.4823563752669 |
L(r)(E,1)/r! |
Ω |
1.3454568823081 |
Real period |
R |
0.46343342987828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003488 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85400c1 |
Quadratic twists by: 5 |