Atkin-Lehner |
2- 3+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
50160be |
Isogeny class |
Conductor |
50160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-5765094824214528000 = -1 · 222 · 314 · 53 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4104936,-3201878160] |
[a1,a2,a3,a4,a6] |
Generators |
[1851369286409403642:44363459527493032566:708229544894353] |
Generators of the group modulo torsion |
j |
-1867596456486858577129/1407493853568000 |
j-invariant |
L |
5.6203571037759 |
L(r)(E,1)/r! |
Ω |
0.053030207184334 |
Real period |
R |
26.49601709187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6270h1 |
Quadratic twists by: -4 |