Atkin-Lehner |
2- 3- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
40788d |
Isogeny class |
Conductor |
40788 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
231840 |
Modular degree for the optimal curve |
Δ |
-38582533251668736 = -1 · 28 · 36 · 117 · 1032 |
Discriminant |
Eigenvalues |
2- 3- -3 0 11- 0 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,80376,3519236] |
[a1,a2,a3,a4,a6] |
Generators |
[20:2266:1] |
Generators of the group modulo torsion |
j |
307705590161408/206739397139 |
j-invariant |
L |
4.4377207673866 |
L(r)(E,1)/r! |
Ω |
0.22899651332446 |
Real period |
R |
0.46140448488567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4532b1 |
Quadratic twists by: -3 |