Atkin-Lehner |
2+ 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712bq |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
4100735434752 = 216 · 39 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11+ 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5196,-106256] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:68:1] |
Generators of the group modulo torsion |
j |
324730948/85833 |
j-invariant |
L |
4.5813247540383 |
L(r)(E,1)/r! |
Ω |
0.57338001618032 |
Real period |
R |
1.9975080272438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030805 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712fd1 13464u1 35904bj1 |
Quadratic twists by: -4 8 -3 |