Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
24200n |
Isogeny class |
Conductor |
24200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-242000000000 = -1 · 210 · 59 · 112 |
Discriminant |
Eigenvalues |
2+ 1 5- -5 11- -6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3208,-74912] |
[a1,a2,a3,a4,a6] |
Generators |
[2316:14500:27] |
Generators of the group modulo torsion |
j |
-15092 |
j-invariant |
L |
4.4540245792943 |
L(r)(E,1)/r! |
Ω |
0.31596666599664 |
Real period |
R |
3.5241253735145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48400x1 24200bb1 24200z1 |
Quadratic twists by: -4 5 -11 |