Atkin-Lehner |
7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91091k |
Isogeny class |
Conductor |
91091 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-1055668939544219 = -1 · 76 · 11 · 138 |
Discriminant |
Eigenvalues |
0 1 -1 7- 11- 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-11041,1622079] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:1151:1] |
Generators of the group modulo torsion |
j |
-262144/1859 |
j-invariant |
L |
5.8517272093187 |
L(r)(E,1)/r! |
Ω |
0.42262071227949 |
Real period |
R |
3.4615714770254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999938673 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1859b1 7007a1 |
Quadratic twists by: -7 13 |