Atkin-Lehner |
2- 11+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
46904n |
Isogeny class |
Conductor |
46904 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-1574751562398386944 = -1 · 28 · 11 · 136 · 415 |
Discriminant |
Eigenvalues |
2- 2 3 1 11+ 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-181884,67415492] |
[a1,a2,a3,a4,a6] |
Generators |
[6644:540462:1] |
Generators of the group modulo torsion |
j |
-2599379110914561232/6151373290618699 |
j-invariant |
L |
10.862797147971 |
L(r)(E,1)/r! |
Ω |
0.23686522253002 |
Real period |
R |
1.1465166806619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93808p1 |
Quadratic twists by: -4 |