Atkin-Lehner |
2+ 3+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
40920g |
Isogeny class |
Conductor |
40920 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-9324573390000 = -1 · 24 · 36 · 54 · 113 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- 4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6531,-248544] |
[a1,a2,a3,a4,a6] |
Generators |
[123:891:1] |
Generators of the group modulo torsion |
j |
-1925791548565504/582785836875 |
j-invariant |
L |
4.8691513074589 |
L(r)(E,1)/r! |
Ω |
0.2614674489792 |
Real period |
R |
1.5518666302017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81840m1 122760bw1 |
Quadratic twists by: -4 -3 |