Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
40950bh |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-3789416358000000 = -1 · 27 · 36 · 56 · 7 · 135 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 5 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4992,-2963584] |
[a1,a2,a3,a4,a6] |
Generators |
[299:4563:1] |
Generators of the group modulo torsion |
j |
-1207949625/332678528 |
j-invariant |
L |
4.5955711945342 |
L(r)(E,1)/r! |
Ω |
0.19763135835495 |
Real period |
R |
2.3253249043008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4550t1 1638s1 |
Quadratic twists by: -3 5 |