Atkin-Lehner |
2+ 5- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125120bd |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1044480 |
Modular degree for the optimal curve |
Δ |
-22643212443975680 = -1 · 218 · 5 · 175 · 233 |
Discriminant |
Eigenvalues |
2+ 1 5- 4 1 4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-296225,-62575297] |
[a1,a2,a3,a4,a6] |
Generators |
[144576893:624480448:226981] |
Generators of the group modulo torsion |
j |
-10966054014452809/86377000595 |
j-invariant |
L |
11.237012388943 |
L(r)(E,1)/r! |
Ω |
0.10227271272453 |
Real period |
R |
10.987302523175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038481 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120df1 1955a1 |
Quadratic twists by: -4 8 |