Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
37296ck |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-8232788156350464 = -1 · 217 · 311 · 7 · 373 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -4 -6 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58323,-6960494] |
[a1,a2,a3,a4,a6] |
Generators |
[2105:95904:1] |
Generators of the group modulo torsion |
j |
-7347774183121/2757144096 |
j-invariant |
L |
4.2507803717648 |
L(r)(E,1)/r! |
Ω |
0.15078784125386 |
Real period |
R |
0.58730149377671 |
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 |
4662d1 12432by1 |
Quadratic twists by: -4 -3 |