Atkin-Lehner |
2+ 3+ 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61050q |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
524160 |
Modular degree for the optimal curve |
Δ |
-472771200000000 = -1 · 213 · 3 · 58 · 113 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 11- 4 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-239575,45047125] |
[a1,a2,a3,a4,a6] |
Generators |
[285:-5:1] |
Generators of the group modulo torsion |
j |
-3893059132419865/1210294272 |
j-invariant |
L |
3.1100076404742 |
L(r)(E,1)/r! |
Ω |
0.51461314159533 |
Real period |
R |
0.67148771882145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991823 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61050cq1 |
Quadratic twists by: 5 |