Atkin-Lehner |
2+ 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
29400w |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
41506567200000000 = 211 · 32 · 58 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 -4 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-157208,21950412] |
[a1,a2,a3,a4,a6] |
j |
93170/9 |
j-invariant |
L |
0.70404802637549 |
L(r)(E,1)/r! |
Ω |
0.35202401318751 |
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 |
58800dw1 88200hq1 29400ds1 29400cc1 |
Quadratic twists by: -4 -3 5 -7 |