Atkin-Lehner |
2- 3- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
125400dm |
Isogeny class |
Conductor |
125400 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
587520 |
Modular degree for the optimal curve |
Δ |
80894154330000 = 24 · 33 · 54 · 112 · 195 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 11- -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15808,625613] |
[a1,a2,a3,a4,a6] |
Generators |
[38:285:1] [-133:627:1] |
Generators of the group modulo torsion |
j |
43689992147200/8089415433 |
j-invariant |
L |
12.990983829465 |
L(r)(E,1)/r! |
Ω |
0.57901046221259 |
Real period |
R |
0.1246473718656 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999983963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125400q1 |
Quadratic twists by: 5 |