Atkin-Lehner |
2- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
90650dg |
Isogeny class |
Conductor |
90650 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
748800 |
Modular degree for the optimal curve |
Δ |
-55596732800000000 = -1 · 213 · 58 · 73 · 373 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 2 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,65862,9321031] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:2107:1] |
Generators of the group modulo torsion |
j |
235816336985/414949376 |
j-invariant |
L |
9.593541356361 |
L(r)(E,1)/r! |
Ω |
0.24230960949165 |
Real period |
R |
0.50759076493797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934681 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90650b1 90650df1 |
Quadratic twists by: 5 -7 |