Atkin-Lehner |
2+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
30400q |
Isogeny class |
Conductor |
30400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-1855468750000000000 = -1 · 210 · 520 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 -4 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2603533,-1619131437] |
[a1,a2,a3,a4,a6] |
j |
-121981271658244096/115966796875 |
j-invariant |
L |
0.11884584726213 |
L(r)(E,1)/r! |
Ω |
0.059422923632386 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30400bh1 3800d1 6080d1 |
Quadratic twists by: -4 8 5 |