Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
73200bv |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-19764000000 = -1 · 28 · 34 · 56 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 -5 -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2508,-47988] |
[a1,a2,a3,a4,a6] |
Generators |
[213:3006:1] |
Generators of the group modulo torsion |
j |
-436334416/4941 |
j-invariant |
L |
2.9587448681261 |
L(r)(E,1)/r! |
Ω |
0.33707788884054 |
Real period |
R |
4.3888148196892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000088 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18300l1 2928n1 |
Quadratic twists by: -4 5 |