Atkin-Lehner |
2+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78650bg |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
810000 |
Modular degree for the optimal curve |
Δ |
-233901413281250 = -1 · 2 · 58 · 116 · 132 |
Discriminant |
Eigenvalues |
2+ 3 5- 0 11- 13+ 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-67117,-6716209] |
[a1,a2,a3,a4,a6] |
Generators |
[16955356448936442315:1233166378905093112994:3153823011397449] |
Generators of the group modulo torsion |
j |
-48317985/338 |
j-invariant |
L |
9.2286184576001 |
L(r)(E,1)/r! |
Ω |
0.14824485909533 |
Real period |
R |
31.126268101025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78650cs1 650m1 |
Quadratic twists by: 5 -11 |