Atkin-Lehner |
3+ 7+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
125097a |
Isogeny class |
Conductor |
125097 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4213440 |
Modular degree for the optimal curve |
Δ |
-2.1096938843865E+20 |
Discriminant |
Eigenvalues |
-1 3+ -1 7+ 2 5 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-837656,758222030] |
[a1,a2,a3,a4,a6] |
j |
-11275518848779969/36596126811429 |
j-invariant |
L |
1.2482094529831 |
L(r)(E,1)/r! |
Ω |
0.15602634282172 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125097i1 |
Quadratic twists by: -7 |