Atkin-Lehner |
3- 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
105525s |
Isogeny class |
Conductor |
105525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-39595805893546875 = -1 · 38 · 56 · 78 · 67 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ -2 4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-15375,-9601844] |
[a1,a2,a3,a4,a6] |
Generators |
[4180:270112:1] |
Generators of the group modulo torsion |
j |
-35287552000/3476175003 |
j-invariant |
L |
2.2781851513306 |
L(r)(E,1)/r! |
Ω |
0.16083618385112 |
Real period |
R |
1.7705788576255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999033746 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35175g1 4221h1 |
Quadratic twists by: -3 5 |