Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40425cb |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
7920 |
Modular degree for the optimal curve |
Δ |
-36018675 = -1 · 35 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 11+ 2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-23,284] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-17:1] |
Generators of the group modulo torsion |
j |
-1146880/29403 |
j-invariant |
L |
5.2311721118441 |
L(r)(E,1)/r! |
Ω |
1.7251449780087 |
Real period |
R |
0.30323086920386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275dv1 40425be1 40425c1 |
Quadratic twists by: -3 5 -7 |