Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
60840j |
Isogeny class |
Conductor |
60840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
7096320 |
Modular degree for the optimal curve |
Δ |
-2.9624305332235E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -5 13+ -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14782092,-14395262492] |
[a1,a2,a3,a4,a6] |
j |
396555344454656/328867205355 |
j-invariant |
L |
1.7204469473819 |
L(r)(E,1)/r! |
Ω |
0.053763967178379 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121680q1 20280bc1 4680u1 |
Quadratic twists by: -4 -3 13 |