Atkin-Lehner |
7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91091p |
Isogeny class |
Conductor |
91091 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1617408 |
Modular degree for the optimal curve |
Δ |
-1248856355480811077 = -1 · 77 · 11 · 1310 |
Discriminant |
Eigenvalues |
-1 1 4 7- 11- 13+ 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-29156,-53803387] |
[a1,a2,a3,a4,a6] |
Generators |
[485495980:8803963887:857375] |
Generators of the group modulo torsion |
j |
-169/77 |
j-invariant |
L |
6.5602244447792 |
L(r)(E,1)/r! |
Ω |
0.12238651141054 |
Real period |
R |
13.400627984911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008604 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13013c1 91091c1 |
Quadratic twists by: -7 13 |