Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
10710l |
Isogeny class |
Conductor |
10710 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
99425723624640 = 26 · 312 · 5 · 7 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-78382134,-267080313420] |
[a1,a2,a3,a4,a6] |
Generators |
[-12777864346192140:6387300256287185:2499951325248] |
Generators of the group modulo torsion |
j |
73054578035931991395831649/136386452160 |
j-invariant |
L |
3.8042056209952 |
L(r)(E,1)/r! |
Ω |
0.050739394892616 |
Real period |
R |
18.743846024604 |
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 |
85680fd5 3570v5 53550dj5 74970q5 |
Quadratic twists by: -4 -3 5 -7 |