Atkin-Lehner |
2+ 3+ 5- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
119850s |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
-8618413500 = -1 · 22 · 33 · 53 · 172 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2660,51900] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-55:1] [-10:1885:8] |
Generators of the group modulo torsion |
j |
-16661484415421/68947308 |
j-invariant |
L |
6.9802698153287 |
L(r)(E,1)/r! |
Ω |
1.311396312516 |
Real period |
R |
1.330694190168 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986211 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119850cp1 |
Quadratic twists by: 5 |