Atkin-Lehner |
3+ 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
61005g |
Isogeny class |
Conductor |
61005 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1276512238575 = 32 · 52 · 77 · 832 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 2 4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-45987,-3814614] |
[a1,a2,a3,a4,a6] |
Generators |
[-8012:4441:64] |
Generators of the group modulo torsion |
j |
91422999252649/10850175 |
j-invariant |
L |
6.8935085309889 |
L(r)(E,1)/r! |
Ω |
0.32601880263963 |
Real period |
R |
5.2861280357974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999517 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8715i2 |
Quadratic twists by: -7 |