Atkin-Lehner |
2+ 5- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
52030n |
Isogeny class |
Conductor |
52030 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
422400 |
Modular degree for the optimal curve |
Δ |
-225198619868750 = -1 · 2 · 55 · 117 · 432 |
Discriminant |
Eigenvalues |
2+ 1 5- -5 11- -4 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-39933,3151806] |
[a1,a2,a3,a4,a6] |
Generators |
[120:242:1] [90:-583:1] |
Generators of the group modulo torsion |
j |
-3975097468321/127118750 |
j-invariant |
L |
7.5687769160514 |
L(r)(E,1)/r! |
Ω |
0.55655397718436 |
Real period |
R |
0.33998395601901 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4730h1 |
Quadratic twists by: -11 |