Atkin-Lehner |
2- 5- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
38710bi |
Isogeny class |
Conductor |
38710 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-40805567398400 = -1 · 29 · 52 · 79 · 79 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -5 3 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,8525,-50975] |
[a1,a2,a3,a4,a6] |
Generators |
[102:1321:1] |
Generators of the group modulo torsion |
j |
1697936057/1011200 |
j-invariant |
L |
10.660482610311 |
L(r)(E,1)/r! |
Ω |
0.37654367558057 |
Real period |
R |
0.78642807237828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38710be1 |
Quadratic twists by: -7 |