Atkin-Lehner |
2+ 3+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126c |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1728000 |
Modular degree for the optimal curve |
Δ |
267545048546792016 = 24 · 39 · 74 · 115 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 11- 13- 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1326390,587774564] |
[a1,a2,a3,a4,a6] |
Generators |
[832:-8138:1] |
Generators of the group modulo torsion |
j |
5460773465406483/5661264752 |
j-invariant |
L |
4.7257550977575 |
L(r)(E,1)/r! |
Ω |
0.3085223038681 |
Real period |
R |
0.25528976197023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999296152 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126df1 126126p1 |
Quadratic twists by: -3 -7 |