Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
46800br |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-108269038800000000 = -1 · 210 · 36 · 58 · 135 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 1 13- 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,61125,-14723750] |
[a1,a2,a3,a4,a6] |
j |
86614940/371293 |
j-invariant |
L |
3.3801714953436 |
L(r)(E,1)/r! |
Ω |
0.16900857477242 |
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 |
23400bu1 5200l1 46800u1 |
Quadratic twists by: -4 -3 5 |