Atkin-Lehner |
2- 3- 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61050bx |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-24005836800000000 = -1 · 224 · 32 · 58 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,13562,-7428508] |
[a1,a2,a3,a4,a6] |
Generators |
[272:3914:1] |
Generators of the group modulo torsion |
j |
17655210697319/1536373555200 |
j-invariant |
L |
11.206573027856 |
L(r)(E,1)/r! |
Ω |
0.18011268033 |
Real period |
R |
2.5924912225144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000177 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12210h1 |
Quadratic twists by: 5 |