Atkin-Lehner |
2+ 3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
93024l |
Isogeny class |
Conductor |
93024 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
-1007492434386624 = -1 · 26 · 39 · 17 · 196 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 -4 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15069,1684960] |
[a1,a2,a3,a4,a6] |
Generators |
[65:990:1] |
Generators of the group modulo torsion |
j |
-8110908618688/21594059379 |
j-invariant |
L |
6.4752222233242 |
L(r)(E,1)/r! |
Ω |
0.43564011462338 |
Real period |
R |
3.7159239938712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000747 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93024t1 31008u1 |
Quadratic twists by: -4 -3 |