Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
19800w |
Isogeny class |
Conductor |
19800 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-42340320000 = -1 · 28 · 37 · 54 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 11- -5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,10100] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:18:1] [-10:110:1] |
Generators of the group modulo torsion |
j |
-25600/363 |
j-invariant |
L |
6.9746630651939 |
L(r)(E,1)/r! |
Ω |
0.96764199743641 |
Real period |
R |
0.075082251963962 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39600bo1 6600x1 19800bm1 |
Quadratic twists by: -4 -3 5 |