Atkin-Lehner |
2- 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560eb |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
400 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-1124292960000000000 = -1 · 214 · 310 · 510 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8099960,-8875886892] |
[a1,a2,a3,a4,a6] |
j |
-14348696196102335214841/274485585937500 |
j-invariant |
L |
4.4745394099427 |
L(r)(E,1)/r! |
Ω |
0.044745394099433 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3570e1 114240gc1 85680ef1 |
Quadratic twists by: -4 8 -3 |