Atkin-Lehner |
2+ 5- 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
41080c |
Isogeny class |
Conductor |
41080 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
35328 |
Modular degree for the optimal curve |
Δ |
-53404000000 = -1 · 28 · 56 · 132 · 79 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 4 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2140,-38988] |
[a1,a2,a3,a4,a6] |
Generators |
[774:21480:1] |
Generators of the group modulo torsion |
j |
-4235727303376/208609375 |
j-invariant |
L |
9.7656102197581 |
L(r)(E,1)/r! |
Ω |
0.34994846907063 |
Real period |
R |
4.6509753496444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82160c1 |
Quadratic twists by: -4 |