Atkin-Lehner |
2+ 3+ 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37950b |
Isogeny class |
Conductor |
37950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-196732800000000 = -1 · 213 · 35 · 58 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 11+ -1 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16000,1024000] |
[a1,a2,a3,a4,a6] |
Generators |
[15:880:1] |
Generators of the group modulo torsion |
j |
-28993860495361/12590899200 |
j-invariant |
L |
3.5414138089089 |
L(r)(E,1)/r! |
Ω |
0.52934429117224 |
Real period |
R |
3.3450949296783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113850ez1 7590y1 |
Quadratic twists by: -3 5 |