Atkin-Lehner |
2+ 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
5520c |
Isogeny class |
Conductor |
5520 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-574759346400000 = -1 · 28 · 310 · 55 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 4 0 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7615,-1127283] |
[a1,a2,a3,a4,a6] |
j |
190737654201344/2245153696875 |
j-invariant |
L |
2.5421836227456 |
L(r)(E,1)/r! |
Ω |
0.25421836227456 |
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 |
2760k1 22080co1 16560p1 27600ba1 |
Quadratic twists by: -4 8 -3 5 |