Atkin-Lehner |
3+ 7- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
75999a |
Isogeny class |
Conductor |
75999 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
-95188975497 = -1 · 35 · 73 · 11 · 473 |
Discriminant |
Eigenvalues |
1 3+ 0 7- 11+ 4 8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-34360,2437261] |
[a1,a2,a3,a4,a6] |
j |
-13080032006233375/277518879 |
j-invariant |
L |
1.9721200979163 |
L(r)(E,1)/r! |
Ω |
0.98606007465329 |
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 |
75999c1 |
Quadratic twists by: -7 |