Atkin-Lehner |
2+ 5+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
61360d |
Isogeny class |
Conductor |
61360 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
62720 |
Modular degree for the optimal curve |
Δ |
-112160189440 = -1 · 210 · 5 · 135 · 59 |
Discriminant |
Eigenvalues |
2+ 0 5+ 1 1 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10403,-408718] |
[a1,a2,a3,a4,a6] |
Generators |
[157:1352:1] |
Generators of the group modulo torsion |
j |
-121590473849316/109531435 |
j-invariant |
L |
5.9425106899001 |
L(r)(E,1)/r! |
Ω |
0.2363504586615 |
Real period |
R |
1.2571396568387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999875 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30680d1 |
Quadratic twists by: -4 |