Atkin-Lehner |
2- 3- 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
100464bx |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
9676800 |
Modular degree for the optimal curve |
Δ |
-4.0645058286499E+21 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ -3 13- -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1642459,-2957857773] |
[a1,a2,a3,a4,a6] |
Generators |
[2158:103155:1] |
Generators of the group modulo torsion |
j |
119631930643843813376/992310993322734267 |
j-invariant |
L |
11.079165576411 |
L(r)(E,1)/r! |
Ω |
0.068890710531896 |
Real period |
R |
1.3401862021497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6279f1 |
Quadratic twists by: -4 |