Atkin-Lehner |
2- 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38640cz |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4682203545600 = 214 · 32 · 52 · 74 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-180320,-29532300] |
[a1,a2,a3,a4,a6] |
Generators |
[1435:51660:1] |
Generators of the group modulo torsion |
j |
158306179791523681/1143116100 |
j-invariant |
L |
8.5506399043027 |
L(r)(E,1)/r! |
Ω |
0.23168001223847 |
Real period |
R |
4.6133888621254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4830w2 115920ds2 |
Quadratic twists by: -4 -3 |