Atkin-Lehner |
2+ 3+ 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89670d |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
437959872 |
Modular degree for the optimal curve |
Δ |
-2.44463365833E+29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 3 -2 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-134229966308,18928726452612012] |
[a1,a2,a3,a4,a6] |
j |
-946873049417685070690083804121/865432871369917123500 |
j-invariant |
L |
1.3063699482659 |
L(r)(E,1)/r! |
Ω |
0.026127399501404 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89670y1 |
Quadratic twists by: -7 |