Atkin-Lehner |
2+ 3+ 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47850t |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3505920 |
Modular degree for the optimal curve |
Δ |
-213678032906250000 = -1 · 24 · 311 · 59 · 113 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11+ -1 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-60850575,-182728132875] |
[a1,a2,a3,a4,a6] |
j |
-12758151160956930301061/109403152848 |
j-invariant |
L |
0.97298442190118 |
L(r)(E,1)/r! |
Ω |
0.027027345055047 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47850cw1 |
Quadratic twists by: 5 |