Atkin-Lehner |
3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40425bi |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
1560708885462890625 = 36 · 59 · 77 · 113 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 11+ -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1244013,530142906] |
[a1,a2,a3,a4,a6] |
Generators |
[-190:27657:1] |
Generators of the group modulo torsion |
j |
926574216749/6792093 |
j-invariant |
L |
2.371899072969 |
L(r)(E,1)/r! |
Ω |
0.26899842949099 |
Real period |
R |
2.2043800380735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999865 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121275gm1 40425cy1 5775x1 |
Quadratic twists by: -3 5 -7 |