Atkin-Lehner |
2- 3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
52290co |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-8470980000 = -1 · 25 · 36 · 54 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -5 -2 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1517,23541] |
[a1,a2,a3,a4,a6] |
Generators |
[11:84:1] |
Generators of the group modulo torsion |
j |
-529278808969/11620000 |
j-invariant |
L |
10.196661967226 |
L(r)(E,1)/r! |
Ω |
1.3063000018049 |
Real period |
R |
0.1951439553141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5810a1 |
Quadratic twists by: -3 |