Atkin-Lehner |
2+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
88360m |
Isogeny class |
Conductor |
88360 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2826240 |
Modular degree for the optimal curve |
Δ |
1621193985481600000 = 210 · 55 · 477 |
Discriminant |
Eigenvalues |
2+ -3 5- 1 3 -1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1950547,1046743486] |
[a1,a2,a3,a4,a6] |
Generators |
[3807:220900:1] |
Generators of the group modulo torsion |
j |
74354261796/146875 |
j-invariant |
L |
4.5010491648704 |
L(r)(E,1)/r! |
Ω |
0.26705820320606 |
Real period |
R |
0.42135469966097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010475 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1880a1 |
Quadratic twists by: -47 |