Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
15300bh |
Isogeny class |
Conductor |
15300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-94109343750000 = -1 · 24 · 311 · 59 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 5 4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8625,-559375] |
[a1,a2,a3,a4,a6] |
Generators |
[475:10125:1] |
Generators of the group modulo torsion |
j |
-3114752/4131 |
j-invariant |
L |
5.300912298196 |
L(r)(E,1)/r! |
Ω |
0.23609471363047 |
Real period |
R |
0.93552008158838 |
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 |
61200hh1 5100i1 15300bc1 |
Quadratic twists by: -4 -3 5 |