Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
15300bi |
Isogeny class |
Conductor |
15300 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-16153392201318000 = -1 · 24 · 39 · 53 · 177 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -3 0 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,32055,-5701975] |
[a1,a2,a3,a4,a6] |
Generators |
[175:2295:1] |
Generators of the group modulo torsion |
j |
2498351450368/11079144171 |
j-invariant |
L |
5.1965284497402 |
L(r)(E,1)/r! |
Ω |
0.19781883278781 |
Real period |
R |
0.1563638634746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61200hj1 5100j1 15300be1 |
Quadratic twists by: -4 -3 5 |