Atkin-Lehner |
2+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
105350u |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4032000 |
Modular degree for the optimal curve |
Δ |
-1186175362011718750 = -1 · 2 · 511 · 710 · 43 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 2 -7 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2162150,1223926250] |
[a1,a2,a3,a4,a6] |
Generators |
[16405900:104072275:21952] |
Generators of the group modulo torsion |
j |
-253268430961/268750 |
j-invariant |
L |
6.1104515286551 |
L(r)(E,1)/r! |
Ω |
0.27257956574907 |
Real period |
R |
11.208564926024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013491 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21070t1 105350d1 |
Quadratic twists by: 5 -7 |