Atkin-Lehner |
3- 5+ 7+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
118755b |
Isogeny class |
Conductor |
118755 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
-2111414141655 = -1 · 38 · 5 · 7 · 13 · 294 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1755,-74984] |
[a1,a2,a3,a4,a6] |
Generators |
[92136:436852:1331] |
Generators of the group modulo torsion |
j |
-820288712881/2896315695 |
j-invariant |
L |
6.3637962460307 |
L(r)(E,1)/r! |
Ω |
0.33846540769863 |
Real period |
R |
9.4009552682364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998912446 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39585h1 |
Quadratic twists by: -3 |