Atkin-Lehner |
2+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
40600k |
Isogeny class |
Conductor |
40600 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
174720 |
Modular degree for the optimal curve |
Δ |
-9553098800000000 = -1 · 210 · 58 · 77 · 29 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 0 4 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,51792,1255088] |
[a1,a2,a3,a4,a6] |
j |
38409918140/23882747 |
j-invariant |
L |
3.5448464461587 |
L(r)(E,1)/r! |
Ω |
0.25320331758626 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81200v1 40600q1 |
Quadratic twists by: -4 5 |