Atkin-Lehner |
2+ 3+ 17+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
126072b |
Isogeny class |
Conductor |
126072 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
900480 |
Modular degree for the optimal curve |
Δ |
-5895261530302464 = -1 · 211 · 39 · 175 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 3 4 2 6 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30051,4203198] |
[a1,a2,a3,a4,a6] |
j |
-74452494438/146245271 |
j-invariant |
L |
6.8310850007433 |
L(r)(E,1)/r! |
Ω |
0.37950473760445 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126072m1 |
Quadratic twists by: -3 |