Atkin-Lehner |
3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40425bh |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-8825475841875 = -1 · 39 · 54 · 72 · 114 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 11+ -1 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-117888,-15629244] |
[a1,a2,a3,a4,a6] |
Generators |
[750:17472:1] |
Generators of the group modulo torsion |
j |
-5916387959190625/288178803 |
j-invariant |
L |
2.6158113835753 |
L(r)(E,1)/r! |
Ω |
0.12882521343769 |
Real period |
R |
3.3841866222916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999888 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275gl1 40425cf1 40425cv1 |
Quadratic twists by: -3 5 -7 |