Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
60648n |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-628798464 = -1 · 210 · 35 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ -1 6 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,184,-672] |
[a1,a2,a3,a4,a6] |
Generators |
[4:12:1] |
Generators of the group modulo torsion |
j |
1853564/1701 |
j-invariant |
L |
7.2684058024455 |
L(r)(E,1)/r! |
Ω |
0.88939259118564 |
Real period |
R |
0.81723255561799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121296q1 60648t1 |
Quadratic twists by: -4 -19 |