Atkin-Lehner |
3- 5- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
110715u |
Isogeny class |
Conductor |
110715 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-22247927373375 = -1 · 33 · 53 · 116 · 612 |
Discriminant |
Eigenvalues |
1 3- 5- 2 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,6047,-136369] |
[a1,a2,a3,a4,a6] |
Generators |
[37:353:1] |
Generators of the group modulo torsion |
j |
13806727199/12558375 |
j-invariant |
L |
12.867388051667 |
L(r)(E,1)/r! |
Ω |
0.37185285044972 |
Real period |
R |
3.8448267436989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957253 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
915d1 |
Quadratic twists by: -11 |