Atkin-Lehner |
2+ 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
125120bc |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1566720 |
Modular degree for the optimal curve |
Δ |
-8882625392000000 = -1 · 210 · 56 · 176 · 23 |
Discriminant |
Eigenvalues |
2+ -3 5- -2 6 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,51668,-356744] |
[a1,a2,a3,a4,a6] |
Generators |
[1106:24565:8] |
Generators of the group modulo torsion |
j |
14896653229760256/8674438859375 |
j-invariant |
L |
4.4700221809646 |
L(r)(E,1)/r! |
Ω |
0.24329207472861 |
Real period |
R |
1.5310890844734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000227056 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120cr1 15640a1 |
Quadratic twists by: -4 8 |