Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40898bt |
Isogeny class |
Conductor |
40898 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-26346655192 = -1 · 23 · 117 · 132 |
Discriminant |
Eigenvalues |
2- 2 4 -2 11- 13+ -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-426,-8689] |
[a1,a2,a3,a4,a6] |
Generators |
[435:8857:1] |
Generators of the group modulo torsion |
j |
-28561/88 |
j-invariant |
L |
15.423869974931 |
L(r)(E,1)/r! |
Ω |
0.48512796159601 |
Real period |
R |
2.6494504536134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3718i1 40898q1 |
Quadratic twists by: -11 13 |