Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
29400ef |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-453978078750000 = -1 · 24 · 32 · 57 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5717,1013438] |
[a1,a2,a3,a4,a6] |
j |
2048/45 |
j-invariant |
L |
3.1584478349245 |
L(r)(E,1)/r! |
Ω |
0.39480597936558 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58800bh1 88200cx1 5880d1 29400cy1 |
Quadratic twists by: -4 -3 5 -7 |