Atkin-Lehner |
2- 3- 11- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
63954bc |
Isogeny class |
Conductor |
63954 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
-2523282828845328 = -1 · 24 · 312 · 11 · 175 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11- -5 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,31945,-1013601] |
[a1,a2,a3,a4,a6] |
Generators |
[53:882:1] |
Generators of the group modulo torsion |
j |
4945584271484375/3461293318032 |
j-invariant |
L |
7.6014667864001 |
L(r)(E,1)/r! |
Ω |
0.25808333826104 |
Real period |
R |
3.6816919477067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998638 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21318d1 |
Quadratic twists by: -3 |