Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
19800j |
Isogeny class |
Conductor |
19800 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
9080634157031250000 = 24 · 38 · 511 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2009550,-1086841375] |
[a1,a2,a3,a4,a6] |
Generators |
[1940:48125:1] |
Generators of the group modulo torsion |
j |
4924392082991104/49825153125 |
j-invariant |
L |
5.9556140150167 |
L(r)(E,1)/r! |
Ω |
0.12687913463999 |
Real period |
R |
1.9558029353143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39600k1 6600t1 3960t1 |
Quadratic twists by: -4 -3 5 |