Atkin-Lehner |
2- 3- 5+ 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
40710bf |
Isogeny class |
Conductor |
40710 |
Conductor |
∏ cp |
130 |
Product of Tamagawa factors cp |
deg |
7571200 |
Modular degree for the optimal curve |
Δ |
-3.2769832278194E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 2 5 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-61696111,186520925285] |
[a1,a2,a3,a4,a6] |
Generators |
[4034:55331:1] |
Generators of the group modulo torsion |
j |
-25971502810712219769552210289/327698322781940887500 |
j-invariant |
L |
8.6401902981501 |
L(r)(E,1)/r! |
Ω |
0.15593521155882 |
Real period |
R |
0.4262219009359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122130x1 |
Quadratic twists by: -3 |