Atkin-Lehner |
3- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
94815v |
Isogeny class |
Conductor |
94815 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
-104025803175 = -1 · 38 · 52 · 73 · 432 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 0 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-608,16706] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:142:1] [10:-113:1] |
Generators of the group modulo torsion |
j |
-99252847/416025 |
j-invariant |
L |
6.8874586719316 |
L(r)(E,1)/r! |
Ω |
0.92401735484875 |
Real period |
R |
1.8634549004355 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31605z1 94815bp1 |
Quadratic twists by: -3 -7 |