Atkin-Lehner |
3- 5- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
108225bf |
Isogeny class |
Conductor |
108225 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
176640 |
Modular degree for the optimal curve |
Δ |
-410916796875 = -1 · 37 · 58 · 13 · 37 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 1 13+ 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13055,-571678] |
[a1,a2,a3,a4,a6] |
Generators |
[138:421:1] |
Generators of the group modulo torsion |
j |
-864043465/1443 |
j-invariant |
L |
5.6515149904208 |
L(r)(E,1)/r! |
Ω |
0.22329781175398 |
Real period |
R |
4.2182194001757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037293 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36075w1 108225bd1 |
Quadratic twists by: -3 5 |