Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
10710l |
Isogeny class |
Conductor |
10710 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
561793182180249600 = 212 · 318 · 52 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4898934,-4172120460] |
[a1,a2,a3,a4,a6] |
Generators |
[33230538:-1129688919:10648] |
Generators of the group modulo torsion |
j |
17836145204788591940449/770635366502400 |
j-invariant |
L |
3.8042056209952 |
L(r)(E,1)/r! |
Ω |
0.10147878978523 |
Real period |
R |
9.3719230123022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
85680fd2 3570v2 53550dj2 74970q2 |
Quadratic twists by: -4 -3 5 -7 |