Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11550bi |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-9272524800000000 = -1 · 221 · 3 · 58 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,18549,-4528202] |
[a1,a2,a3,a4,a6] |
Generators |
[1238:10843:8] |
Generators of the group modulo torsion |
j |
1807002849335/23737663488 |
j-invariant |
L |
4.2456276347321 |
L(r)(E,1)/r! |
Ω |
0.20113223543641 |
Real period |
R |
7.0362128104762 |
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 |
92400fa2 34650eh2 11550bn2 80850bl2 |
Quadratic twists by: -4 -3 5 -7 |