Atkin-Lehner |
2- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
30400by |
Isogeny class |
Conductor |
30400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
739328000 = 214 · 53 · 192 |
Discriminant |
Eigenvalues |
2- 2 5- 2 4 0 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38513,-2896303] |
[a1,a2,a3,a4,a6] |
Generators |
[-4170563928:-8159041:36926037] |
Generators of the group modulo torsion |
j |
3084800518928/361 |
j-invariant |
L |
8.9384912310156 |
L(r)(E,1)/r! |
Ω |
0.34079779848138 |
Real period |
R |
13.114068328561 |
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 |
30400y2 7600i2 30400bz2 |
Quadratic twists by: -4 8 5 |