Atkin-Lehner |
3- 5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
74235j |
Isogeny class |
Conductor |
74235 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2488320 |
Modular degree for the optimal curve |
Δ |
4.7381286903702E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-905644,-19194283] |
[a1,a2,a3,a4,a6] |
Generators |
[15523:1922642:1] |
Generators of the group modulo torsion |
j |
698244181406954281/402734293565625 |
j-invariant |
L |
9.6771560264838 |
L(r)(E,1)/r! |
Ω |
0.16873910935777 |
Real period |
R |
4.7791509148719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000146 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10605c1 |
Quadratic twists by: -7 |