Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11550h |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-2045476540800 = -1 · 27 · 34 · 52 · 72 · 115 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -1 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-31405,2130205] |
[a1,a2,a3,a4,a6] |
Generators |
[121:286:1] |
Generators of the group modulo torsion |
j |
-137025597360350785/81819061632 |
j-invariant |
L |
3.0730024307563 |
L(r)(E,1)/r! |
Ω |
0.81798940642074 |
Real period |
R |
0.18783876702039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92400fy1 34650dh1 11550cp1 80850cj1 |
Quadratic twists by: -4 -3 5 -7 |