Atkin-Lehner |
2- 3- 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
61050cp |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-1526250000 = -1 · 24 · 3 · 57 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 2 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,187,1617] |
[a1,a2,a3,a4,a6] |
Generators |
[12:69:1] |
Generators of the group modulo torsion |
j |
46268279/97680 |
j-invariant |
L |
11.658839780046 |
L(r)(E,1)/r! |
Ω |
1.0444106247776 |
Real period |
R |
0.69769252529129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000148 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12210k1 |
Quadratic twists by: 5 |