Atkin-Lehner |
2+ 3- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
60384r |
Isogeny class |
Conductor |
60384 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
227889216 = 26 · 32 · 172 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-422,3120] |
[a1,a2,a3,a4,a6] |
Generators |
[645:4158:125] |
Generators of the group modulo torsion |
j |
130169674432/3560769 |
j-invariant |
L |
10.429459317124 |
L(r)(E,1)/r! |
Ω |
1.7605043409643 |
Real period |
R |
5.9241315537488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000293 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
60384f1 120768cg2 |
Quadratic twists by: -4 8 |