Atkin-Lehner |
3- 5- 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
118755u |
Isogeny class |
Conductor |
118755 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
1952688465 = 36 · 5 · 72 · 13 · 292 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 2 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-684,6723] |
[a1,a2,a3,a4,a6] |
Generators |
[34:131:1] |
Generators of the group modulo torsion |
j |
48587168449/2678585 |
j-invariant |
L |
10.307109278615 |
L(r)(E,1)/r! |
Ω |
1.4554977869538 |
Real period |
R |
3.5407505740098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028487 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13195h1 |
Quadratic twists by: -3 |