Atkin-Lehner |
3- 7+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
49077b |
Isogeny class |
Conductor |
49077 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-2697989376663 = -1 · 312 · 73 · 192 · 41 |
Discriminant |
Eigenvalues |
1 3- 0 7+ -2 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1098,77503] |
[a1,a2,a3,a4,a6] |
j |
200715401375/3700945647 |
j-invariant |
L |
1.2059016813874 |
L(r)(E,1)/r! |
Ω |
0.60295084076716 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16359b1 |
Quadratic twists by: -3 |