Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
11550o |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
12000 |
Modular degree for the optimal curve |
Δ |
-4227588750 = -1 · 2 · 3 · 54 · 7 · 115 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2250,-42150] |
[a1,a2,a3,a4,a6] |
Generators |
[65:270:1] |
Generators of the group modulo torsion |
j |
-2016939204025/6764142 |
j-invariant |
L |
3.0159707358904 |
L(r)(E,1)/r! |
Ω |
0.34650666754224 |
Real period |
R |
0.5802621841368 |
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 |
92400ih1 34650dz1 11550cn2 80850dk1 |
Quadratic twists by: -4 -3 5 -7 |