Atkin-Lehner |
3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
126075d |
Isogeny class |
Conductor |
126075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
323116435546875 = 39 · 510 · 412 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 -3 -1 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17275,118750] |
[a1,a2,a3,a4,a6] |
Generators |
[-582:19030:27] |
Generators of the group modulo torsion |
j |
21708480289/12301875 |
j-invariant |
L |
6.6943273002486 |
L(r)(E,1)/r! |
Ω |
0.4668465717012 |
Real period |
R |
7.1697295251602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003819 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25215f1 126075y1 |
Quadratic twists by: 5 41 |