Atkin-Lehner |
3+ 5- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
41475j |
Isogeny class |
Conductor |
41475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
476314453125 = 32 · 59 · 73 · 79 |
Discriminant |
Eigenvalues |
0 3+ 5- 7+ -3 1 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-8083,280443] |
[a1,a2,a3,a4,a6] |
Generators |
[67:-188:1] |
Generators of the group modulo torsion |
j |
29906468864/243873 |
j-invariant |
L |
3.566414648533 |
L(r)(E,1)/r! |
Ω |
0.93890936324063 |
Real period |
R |
0.9496163283066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124425x1 41475u1 |
Quadratic twists by: -3 5 |