Atkin-Lehner |
2- 3+ 5+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
37230s |
Isogeny class |
Conductor |
37230 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
2257920 |
Modular degree for the optimal curve |
Δ |
-4406690107792080000 = -1 · 27 · 312 · 54 · 175 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -3 5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-19464491,-33061402087] |
[a1,a2,a3,a4,a6] |
Generators |
[101838:10628927:8] |
Generators of the group modulo torsion |
j |
-815554272983129811709705009/4406690107792080000 |
j-invariant |
L |
6.1535192127376 |
L(r)(E,1)/r! |
Ω |
0.035938393142269 |
Real period |
R |
6.1151466188828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111690z1 |
Quadratic twists by: -3 |