Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400ci |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1033052339200 = -1 · 210 · 52 · 79 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- -3 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19273,1037457] |
[a1,a2,a3,a4,a6] |
j |
-262885120/343 |
j-invariant |
L |
3.4951093491606 |
L(r)(E,1)/r! |
Ω |
0.87377733599098 |
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 |
78400ip2 4900m2 78400fn2 11200k2 |
Quadratic twists by: -4 8 5 -7 |