Atkin-Lehner |
2+ 3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890k |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3993600 |
Modular degree for the optimal curve |
Δ |
-70583290312500000 = -1 · 25 · 33 · 510 · 73 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -5 -7 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3240015,-2243980019] |
[a1,a2,a3,a4,a6] |
j |
-406169179642232404749/7621562500000 |
j-invariant |
L |
0.45011430708213 |
L(r)(E,1)/r! |
Ω |
0.056264220779674 |
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 |
127890eg1 127890v1 |
Quadratic twists by: -3 -7 |