Atkin-Lehner |
2- 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
59040cb |
Isogeny class |
Conductor |
59040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
47822400 = 26 · 36 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -2 4 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-477,-3996] |
[a1,a2,a3,a4,a6] |
Generators |
[69:540:1] |
Generators of the group modulo torsion |
j |
257259456/1025 |
j-invariant |
L |
6.0423385188696 |
L(r)(E,1)/r! |
Ω |
1.0218191661746 |
Real period |
R |
2.9566574590337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999372 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59040bd1 118080bs2 6560a1 |
Quadratic twists by: -4 8 -3 |