Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
126350cl |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
29548800 |
Modular degree for the optimal curve |
Δ |
-3.8454047568928E+24 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 3 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-76631463,-274905318583] |
[a1,a2,a3,a4,a6] |
Generators |
[293574:11224363:27] |
Generators of the group modulo torsion |
j |
-519504157729/40140800 |
j-invariant |
L |
12.335020735643 |
L(r)(E,1)/r! |
Ω |
0.025400729003907 |
Real period |
R |
8.0936133250191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009542 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25270f1 126350e1 |
Quadratic twists by: 5 -19 |