Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
10710l |
Isogeny class |
Conductor |
10710 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
6.5557324148666E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-78613794,-265421985192] |
[a1,a2,a3,a4,a6] |
Generators |
[11487:583464:1] |
Generators of the group modulo torsion |
j |
73704237235978088924479009/899277423164136103500 |
j-invariant |
L |
3.8042056209952 |
L(r)(E,1)/r! |
Ω |
0.050739394892616 |
Real period |
R |
6.2479486748682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
85680fd8 3570v8 53550dj8 74970q8 |
Quadratic twists by: -4 -3 5 -7 |