Atkin-Lehner |
2- 3+ 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
34968f |
Isogeny class |
Conductor |
34968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
-20933363040624 = -1 · 24 · 32 · 313 · 474 |
Discriminant |
Eigenvalues |
2- 3+ -1 -3 0 6 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3304,-208743] |
[a1,a2,a3,a4,a6] |
Generators |
[44:141:1] |
Generators of the group modulo torsion |
j |
249225452807936/1308335190039 |
j-invariant |
L |
4.1503395010604 |
L(r)(E,1)/r! |
Ω |
0.34239243872228 |
Real period |
R |
0.75759914495857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69936i1 104904c1 |
Quadratic twists by: -4 -3 |