Atkin-Lehner |
2+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
105350n |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1555200 |
Modular degree for the optimal curve |
Δ |
-1087665005000000000 = -1 · 29 · 510 · 76 · 432 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -5 -2 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,167799,42649548] |
[a1,a2,a3,a4,a6] |
Generators |
[3798:233619:1] |
Generators of the group modulo torsion |
j |
454786175/946688 |
j-invariant |
L |
4.8581759767092 |
L(r)(E,1)/r! |
Ω |
0.19090100987883 |
Real period |
R |
6.3621664210949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948386 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105350dh1 2150c1 |
Quadratic twists by: 5 -7 |