Atkin-Lehner |
3- 5+ 7+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
42735f |
Isogeny class |
Conductor |
42735 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
544320 |
Modular degree for the optimal curve |
Δ |
-21369018186729675 = -1 · 33 · 52 · 73 · 113 · 375 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ 11+ 4 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-219966,-40399774] |
[a1,a2,a3,a4,a6] |
j |
-1177043080793905967104/21369018186729675 |
j-invariant |
L |
0.66063872508635 |
L(r)(E,1)/r! |
Ω |
0.11010645419162 |
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 |
128205bc1 |
Quadratic twists by: -3 |