Atkin-Lehner |
2+ 11+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
93808g |
Isogeny class |
Conductor |
93808 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
-269725484993536 = -1 · 210 · 113 · 136 · 41 |
Discriminant |
Eigenvalues |
2+ 0 1 -1 11+ 13- -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9253,-712038] |
[a1,a2,a3,a4,a6] |
Generators |
[57:24:1] [77:676:1] |
Generators of the group modulo torsion |
j |
85560131225916/263403793939 |
j-invariant |
L |
11.261038648651 |
L(r)(E,1)/r! |
Ω |
0.2818969197268 |
Real period |
R |
1.6644734682699 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000459 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46904g1 |
Quadratic twists by: -4 |