Atkin-Lehner |
2+ 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28560j |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
147624935771250000 = 24 · 310 · 57 · 76 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-470491,122989030] |
[a1,a2,a3,a4,a6] |
j |
719877522386433132544/9226558485703125 |
j-invariant |
L |
0.98037108019124 |
L(r)(E,1)/r! |
Ω |
0.326790360064 |
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 |
14280m1 114240ku1 85680ci1 |
Quadratic twists by: -4 8 -3 |