Atkin-Lehner |
2- 3- 37- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
108336bb |
Isogeny class |
Conductor |
108336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-46801152 = -1 · 28 · 34 · 37 · 61 |
Discriminant |
Eigenvalues |
2- 3- 4 0 5 6 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-76,392] |
[a1,a2,a3,a4,a6] |
j |
-192143824/182817 |
j-invariant |
L |
7.3536367755168 |
L(r)(E,1)/r! |
Ω |
1.8384092936673 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27084c1 |
Quadratic twists by: -4 |