Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550q |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-1143450000000 = -1 · 27 · 33 · 58 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ 5 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3075,82125] |
[a1,a2,a3,a4,a6] |
Generators |
[35:120:1] |
Generators of the group modulo torsion |
j |
-8236063705/2927232 |
j-invariant |
L |
3.0066363610969 |
L(r)(E,1)/r! |
Ω |
0.81812631424015 |
Real period |
R |
0.6125045136193 |
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 |
92400ib1 34650em1 11550cf1 80850cz1 |
Quadratic twists by: -4 -3 5 -7 |