Atkin-Lehner |
2+ 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
105350d |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-10082324218750 = -1 · 2 · 511 · 74 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 2 7 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-44126,-3574602] |
[a1,a2,a3,a4,a6] |
j |
-253268430961/268750 |
j-invariant |
L |
1.9762903174048 |
L(r)(E,1)/r! |
Ω |
0.1646908480626 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21070w1 105350u1 |
Quadratic twists by: 5 -7 |