Atkin-Lehner |
7- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
7931b |
Isogeny class |
Conductor |
7931 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8768 |
Modular degree for the optimal curve |
Δ |
-280194299 = -1 · 74 · 11 · 1032 |
Discriminant |
Eigenvalues |
-2 -3 3 7- 11- 0 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-181,-1236] |
[a1,a2,a3,a4,a6] |
Generators |
[52:360:1] |
Generators of the group modulo torsion |
j |
-655781916672/280194299 |
j-invariant |
L |
1.6374132435421 |
L(r)(E,1)/r! |
Ω |
0.63751773384367 |
Real period |
R |
0.32105248933036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126896j1 71379c1 55517e1 87241b1 |
Quadratic twists by: -4 -3 -7 -11 |