Atkin-Lehner |
2+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37400j |
Isogeny class |
Conductor |
37400 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
48960 |
Modular degree for the optimal curve |
Δ |
-27378670000 = -1 · 24 · 54 · 115 · 17 |
Discriminant |
Eigenvalues |
2+ -2 5- -5 11- -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-583,9438] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:110:1] [-11:121:1] |
Generators of the group modulo torsion |
j |
-2195200000/2737867 |
j-invariant |
L |
5.4052462311881 |
L(r)(E,1)/r! |
Ω |
1.0714289423864 |
Real period |
R |
0.16816315785876 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74800s1 37400s1 |
Quadratic twists by: -4 5 |