Atkin-Lehner |
3- 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
105105bo |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
150 |
Product of Tamagawa factors cp |
deg |
3024000 |
Modular degree for the optimal curve |
Δ |
-7866883858368409875 = -1 · 35 · 53 · 78 · 112 · 135 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ 11+ 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,111704,-134141339] |
[a1,a2,a3,a4,a6] |
Generators |
[8458:273269:8] |
Generators of the group modulo torsion |
j |
26738785611776/1364641009875 |
j-invariant |
L |
14.913719311513 |
L(r)(E,1)/r! |
Ω |
0.11192210917125 |
Real period |
R |
0.88833918461364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105105y1 |
Quadratic twists by: -7 |