Atkin-Lehner |
2+ 5- 19- 79- |
Signs for the Atkin-Lehner involutions |
Class |
15010c |
Isogeny class |
Conductor |
15010 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-923732330979800 = -1 · 23 · 52 · 19 · 796 |
Discriminant |
Eigenvalues |
2+ 1 5- -1 6 -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15013,-1625912] |
[a1,a2,a3,a4,a6] |
j |
-374183455611241801/923732330979800 |
j-invariant |
L |
2.4116779878931 |
L(r)(E,1)/r! |
Ω |
0.20097316565776 |
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 |
120080h2 75050l2 |
Quadratic twists by: -4 5 |