Atkin-Lehner |
2- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
94400cm |
Isogeny class |
Conductor |
94400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
-810889825484800 = -1 · 239 · 52 · 59 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 1 5 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-87500,10056080] |
[a1,a2,a3,a4,a6] |
Generators |
[13714:1605632:1] |
Generators of the group modulo torsion |
j |
-11304931640625/123731968 |
j-invariant |
L |
7.6876447088149 |
L(r)(E,1)/r! |
Ω |
0.50467056002072 |
Real period |
R |
3.8082490336873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024322 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94400c1 23600k1 94400dl1 |
Quadratic twists by: -4 8 5 |