Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488ha |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
635904 |
Modular degree for the optimal curve |
Δ |
-93689034227712 = -1 · 214 · 39 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 11+ 5 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23781,-1494333] |
[a1,a2,a3,a4,a6] |
Generators |
[1434:1485:8] |
Generators of the group modulo torsion |
j |
-37811178496/2381643 |
j-invariant |
L |
12.367088025266 |
L(r)(E,1)/r! |
Ω |
0.19152742575445 |
Real period |
R |
3.5872692531286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004487 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488k1 25872b1 103488fv1 |
Quadratic twists by: -4 8 -7 |