Atkin-Lehner |
2- 5- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
99710be |
Isogeny class |
Conductor |
99710 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-2531699218750000 = -1 · 24 · 513 · 133 · 59 |
Discriminant |
Eigenvalues |
2- -2 5- -1 5 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,12210,2365492] |
[a1,a2,a3,a4,a6] |
Generators |
[174:3038:1] |
Generators of the group modulo torsion |
j |
91630155586787/1152343750000 |
j-invariant |
L |
8.2017888675112 |
L(r)(E,1)/r! |
Ω |
0.33784329679869 |
Real period |
R |
0.23343175773593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999853266 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99710g1 |
Quadratic twists by: 13 |