Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550d |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
13752585000000 = 26 · 36 · 57 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ 4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8025,-214875] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:135:1] |
Generators of the group modulo torsion |
j |
3658671062929/880165440 |
j-invariant |
L |
2.8316716594465 |
L(r)(E,1)/r! |
Ω |
0.51322587075963 |
Real period |
R |
1.3793496298498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92400hk1 34650dd1 2310u1 80850cc1 |
Quadratic twists by: -4 -3 5 -7 |