Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
21420a |
Isogeny class |
Conductor |
21420 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
15927483600 = 24 · 39 · 52 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1728,26973] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:170:1] |
Generators of the group modulo torsion |
j |
1811939328/50575 |
j-invariant |
L |
4.9174160667256 |
L(r)(E,1)/r! |
Ω |
1.2354528476882 |
Real period |
R |
1.9901269708217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680cv1 21420e1 107100f1 |
Quadratic twists by: -4 -3 5 |