Atkin-Lehner |
3- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41745bd |
Isogeny class |
Conductor |
41745 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-33416733697875 = -1 · 38 · 53 · 116 · 23 |
Discriminant |
Eigenvalues |
2 3- 5- 5 11- 6 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-12140,-589231] |
[a1,a2,a3,a4,a6] |
j |
-111701610496/18862875 |
j-invariant |
L |
10.815822368931 |
L(r)(E,1)/r! |
Ω |
0.2253296326877 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125235bd1 345f1 |
Quadratic twists by: -3 -11 |