Atkin-Lehner |
2+ 7- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
63784d |
Isogeny class |
Conductor |
63784 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
255140209744 = 24 · 77 · 172 · 67 |
Discriminant |
Eigenvalues |
2+ -1 1 7- -2 -7 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11795,496408] |
[a1,a2,a3,a4,a6] |
Generators |
[8355:5831:125] [59:49:1] |
Generators of the group modulo torsion |
j |
11343168535668736/15946263109 |
j-invariant |
L |
8.9458672666796 |
L(r)(E,1)/r! |
Ω |
0.98247308389493 |
Real period |
R |
0.32519492366883 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127568e1 |
Quadratic twists by: -4 |