Atkin-Lehner |
2+ 11+ 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
125488a |
Isogeny class |
Conductor |
125488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
273280 |
Modular degree for the optimal curve |
Δ |
-14834022815744 = -1 · 211 · 11 · 23 · 315 |
Discriminant |
Eigenvalues |
2+ -1 3 3 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17864,-931568] |
[a1,a2,a3,a4,a6] |
Generators |
[615272:25976924:343] |
Generators of the group modulo torsion |
j |
-307860663437714/7243175203 |
j-invariant |
L |
8.4232845499311 |
L(r)(E,1)/r! |
Ω |
0.20619053070168 |
Real period |
R |
10.212986745777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999065535 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62744e1 |
Quadratic twists by: -4 |