Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40425cf |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-137898060029296875 = -1 · 39 · 510 · 72 · 114 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11+ 1 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2947201,-1947761077] |
[a1,a2,a3,a4,a6] |
Generators |
[1880683:130451693:343] |
Generators of the group modulo torsion |
j |
-5916387959190625/288178803 |
j-invariant |
L |
8.1179807576299 |
L(r)(E,1)/r! |
Ω |
0.05761238689252 |
Real period |
R |
7.8281591044095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275em1 40425bh1 40425d1 |
Quadratic twists by: -3 5 -7 |