Atkin-Lehner |
3+ 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
123975i |
Isogeny class |
Conductor |
123975 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
321408 |
Modular degree for the optimal curve |
Δ |
2446978258125 = 39 · 54 · 193 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 5- 1 3 -4 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-44255,-3571478] |
[a1,a2,a3,a4,a6] |
j |
779166438075/198911 |
j-invariant |
L |
1.9750022823473 |
L(r)(E,1)/r! |
Ω |
0.32916707501497 |
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 |
123975j1 123975b1 |
Quadratic twists by: -3 5 |