Atkin-Lehner |
2+ 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850dd |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-43521573375000000 = -1 · 26 · 39 · 59 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25992,10172416] |
[a1,a2,a3,a4,a6] |
j |
-1363938029/30566592 |
j-invariant |
L |
2.4214418451845 |
L(r)(E,1)/r! |
Ω |
0.30268022976807 |
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 |
19950cj1 59850fz1 |
Quadratic twists by: -3 5 |