Atkin-Lehner |
7+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
7021a |
Isogeny class |
Conductor |
7021 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3504 |
Modular degree for the optimal curve |
Δ |
-14203483 = -1 · 72 · 173 · 59 |
Discriminant |
Eigenvalues |
-2 -2 -4 7+ 1 -4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,30,180] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:3:1] [-3:8:1] |
Generators of the group modulo torsion |
j |
2887553024/14203483 |
j-invariant |
L |
1.6801171997114 |
L(r)(E,1)/r! |
Ω |
1.5998546685037 |
Real period |
R |
0.17502810648875 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999942 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112336m1 63189e1 49147e1 119357e1 |
Quadratic twists by: -4 -3 -7 17 |