Atkin-Lehner |
2+ 3+ 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
18960b |
Isogeny class |
Conductor |
18960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-15922759680 = -1 · 211 · 39 · 5 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -2 5 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1880,32592] |
[a1,a2,a3,a4,a6] |
j |
-359003179442/7774785 |
j-invariant |
L |
2.4790705296559 |
L(r)(E,1)/r! |
Ω |
1.2395352648279 |
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 |
9480c1 75840cc1 56880i1 94800p1 |
Quadratic twists by: -4 8 -3 5 |