Atkin-Lehner |
2+ 3- 5- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
60390s |
Isogeny class |
Conductor |
60390 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29440 |
Modular degree for the optimal curve |
Δ |
-2582759520 = -1 · 25 · 37 · 5 · 112 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11- 1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-549,-5387] |
[a1,a2,a3,a4,a6] |
Generators |
[29:35:1] |
Generators of the group modulo torsion |
j |
-25128011089/3542880 |
j-invariant |
L |
4.6188976898673 |
L(r)(E,1)/r! |
Ω |
0.48927757939831 |
Real period |
R |
1.1800299780468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992594 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20130l1 |
Quadratic twists by: -3 |