Atkin-Lehner |
2+ 3+ 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
63960c |
Isogeny class |
Conductor |
63960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
10102482000 = 24 · 36 · 53 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1591,-23420] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:17:1] |
Generators of the group modulo torsion |
j |
27853976786944/631405125 |
j-invariant |
L |
3.9228119709897 |
L(r)(E,1)/r! |
Ω |
0.75693504660088 |
Real period |
R |
2.5912474183661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000609 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127920s1 |
Quadratic twists by: -4 |