Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
73800y |
Isogeny class |
Conductor |
73800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
502434090000000000 = 210 · 36 · 510 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 -4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5154075,-4503620250] |
[a1,a2,a3,a4,a6] |
Generators |
[16335:2066400:1] |
Generators of the group modulo torsion |
j |
1298160537477444/43075625 |
j-invariant |
L |
4.2741983242342 |
L(r)(E,1)/r! |
Ω |
0.10019884971713 |
Real period |
R |
3.5547632989121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003328 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8200g1 14760s1 |
Quadratic twists by: -3 5 |