Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
40656di |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
17297280 |
Modular degree for the optimal curve |
Δ |
-5.2666658148425E+26 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 5 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,105101528,1023332467892] |
[a1,a2,a3,a4,a6] |
Generators |
[548654:406467072:1] |
Generators of the group modulo torsion |
j |
146234339790153527/599838494072832 |
j-invariant |
L |
8.908657615389 |
L(r)(E,1)/r! |
Ω |
0.037186238710027 |
Real period |
R |
0.95066931102546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5082c1 121968fy1 40656cn1 |
Quadratic twists by: -4 -3 -11 |