Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37200cs |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-18513100800 = -1 · 215 · 36 · 52 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 -5 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-368,-7212] |
[a1,a2,a3,a4,a6] |
Generators |
[34:144:1] |
Generators of the group modulo torsion |
j |
-53969305/180792 |
j-invariant |
L |
6.1216815823022 |
L(r)(E,1)/r! |
Ω |
0.50125440093022 |
Real period |
R |
0.50886349417749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4650ba1 111600dq1 37200cc1 |
Quadratic twists by: -4 -3 5 |