Atkin-Lehner |
2- 5+ 23- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
90850m |
Isogeny class |
Conductor |
90850 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
718848 |
Modular degree for the optimal curve |
Δ |
-4279398400000000 = -1 · 218 · 58 · 232 · 79 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 4 2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-97105,12088897] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:4020:1] |
Generators of the group modulo torsion |
j |
-6480735114164121/273881497600 |
j-invariant |
L |
9.8081832644557 |
L(r)(E,1)/r! |
Ω |
0.43376653947887 |
Real period |
R |
0.62810177925219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999962204 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18170b1 |
Quadratic twists by: 5 |