Atkin-Lehner |
2- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
126350dd |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
45964800 |
Modular degree for the optimal curve |
Δ |
-8.8545504270558E+23 |
Discriminant |
Eigenvalues |
2- -3 5- 7+ -4 0 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-36277680,-95504515053] |
[a1,a2,a3,a4,a6] |
Generators |
[8935:537393:1] |
Generators of the group modulo torsion |
j |
-8377795791/1404928 |
j-invariant |
L |
6.4111243279878 |
L(r)(E,1)/r! |
Ω |
0.030478343811645 |
Real period |
R |
4.3822949067573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999486576 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126350br1 126350be1 |
Quadratic twists by: 5 -19 |