Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
60840ca |
Isogeny class |
Conductor |
60840 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-21956961068640000 = -1 · 28 · 37 · 54 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30927,-7430254] |
[a1,a2,a3,a4,a6] |
j |
-3631696/24375 |
j-invariant |
L |
2.5614273731974 |
L(r)(E,1)/r! |
Ω |
0.16008921151497 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
121680bv1 20280d1 4680g1 |
Quadratic twists by: -4 -3 13 |