Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
15300b |
Isogeny class |
Conductor |
15300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-163384277343750000 = -1 · 24 · 39 · 515 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 3 4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14175,19436625] |
[a1,a2,a3,a4,a6] |
j |
64012032/33203125 |
j-invariant |
L |
3.0163770635237 |
L(r)(E,1)/r! |
Ω |
0.25136475529364 |
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 |
61200da2 15300f1 3060c2 |
Quadratic twists by: -4 -3 5 |