Atkin-Lehner |
2- 5+ 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
92720n |
Isogeny class |
Conductor |
92720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1555200 |
Modular degree for the optimal curve |
Δ |
-4206711201857536000 = -1 · 221 · 53 · 19 · 615 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 -1 -6 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-276896,113410804] |
[a1,a2,a3,a4,a6] |
j |
-573212138682372769/1027029102016000 |
j-invariant |
L |
0.88052992509614 |
L(r)(E,1)/r! |
Ω |
0.22013251689608 |
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 |
11590l1 |
Quadratic twists by: -4 |