Atkin-Lehner |
2+ 5+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61360c |
Isogeny class |
Conductor |
61360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-196352000 = -1 · 211 · 53 · 13 · 59 |
Discriminant |
Eigenvalues |
2+ 3 5+ -4 0 13- 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,77,-622] |
[a1,a2,a3,a4,a6] |
j |
24652782/95875 |
j-invariant |
L |
3.6298030945146 |
L(r)(E,1)/r! |
Ω |
0.90745077362262 |
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 |
30680c1 |
Quadratic twists by: -4 |