Atkin-Lehner |
2+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
30400f |
Isogeny class |
Conductor |
30400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-76000000000000 = -1 · 214 · 512 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 4 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5967,382063] |
[a1,a2,a3,a4,a6] |
Generators |
[74:1111:1] |
Generators of the group modulo torsion |
j |
91765424/296875 |
j-invariant |
L |
4.3555471018943 |
L(r)(E,1)/r! |
Ω |
0.43275766253937 |
Real period |
R |
5.0323165583441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30400bu2 3800h2 6080b2 |
Quadratic twists by: -4 8 5 |