Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050ew |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
10321920 |
Modular degree for the optimal curve |
Δ |
-1.4614553287287E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10971005,-23104179003] |
[a1,a2,a3,a4,a6] |
Generators |
[4439:122880:1] |
Generators of the group modulo torsion |
j |
-2656166199049/2658140160 |
j-invariant |
L |
12.491017767617 |
L(r)(E,1)/r! |
Ω |
0.039867814120195 |
Real period |
R |
3.9163853233947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999393 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25350g1 15210o1 5850r1 |
Quadratic twists by: -3 5 13 |