Atkin-Lehner |
2+ 7- 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
63784i |
Isogeny class |
Conductor |
63784 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
491365401856 = 28 · 73 · 174 · 67 |
Discriminant |
Eigenvalues |
2+ 1 -1 7- 4 1 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4676,116816] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:476:1] |
Generators of the group modulo torsion |
j |
44177397542224/1919396101 |
j-invariant |
L |
7.4059831534573 |
L(r)(E,1)/r! |
Ω |
0.92230039930695 |
Real period |
R |
0.33457931018311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000399 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127568j1 |
Quadratic twists by: -4 |