Atkin-Lehner |
2- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
63308r |
Isogeny class |
Conductor |
63308 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
373248 |
Modular degree for the optimal curve |
Δ |
-24583061613824 = -1 · 28 · 77 · 17 · 193 |
Discriminant |
Eigenvalues |
2- -3 -1 7- 4 -6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29743,-1988714] |
[a1,a2,a3,a4,a6] |
Generators |
[231:1862:1] |
Generators of the group modulo torsion |
j |
-96616170576/816221 |
j-invariant |
L |
3.1508684622108 |
L(r)(E,1)/r! |
Ω |
0.18167886030863 |
Real period |
R |
0.4817518328064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000165 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9044c1 |
Quadratic twists by: -7 |