Atkin-Lehner |
2- 3+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
101136ba |
Isogeny class |
Conductor |
101136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3104640 |
Modular degree for the optimal curve |
Δ |
-2.1727882555693E+19 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 1 6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,690688,-38731776] |
[a1,a2,a3,a4,a6] |
Generators |
[1024:41728:1] |
Generators of the group modulo torsion |
j |
1543208288447/920180736 |
j-invariant |
L |
4.0713294543989 |
L(r)(E,1)/r! |
Ω |
0.12543589664844 |
Real period |
R |
4.0571813707594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999743238 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12642bd1 101136db1 |
Quadratic twists by: -4 -7 |