Atkin-Lehner |
2+ 3- 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
34440m |
Isogeny class |
Conductor |
34440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
897235632720 = 24 · 34 · 5 · 72 · 414 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7175,227070] |
[a1,a2,a3,a4,a6] |
j |
2553465374611456/56077227045 |
j-invariant |
L |
3.541401863998 |
L(r)(E,1)/r! |
Ω |
0.88535046600133 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68880o1 103320z1 |
Quadratic twists by: -4 -3 |