Atkin-Lehner |
2+ 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712bk |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
225821121470005248 = 228 · 37 · 113 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11+ 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-152364,1131568] |
[a1,a2,a3,a4,a6] |
Generators |
[-20520:582556:125] |
Generators of the group modulo torsion |
j |
2046931732873/1181672448 |
j-invariant |
L |
7.7534952205655 |
L(r)(E,1)/r! |
Ω |
0.26720835003177 |
Real period |
R |
7.2541662687808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028913 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712ez1 3366q1 35904bk1 |
Quadratic twists by: -4 8 -3 |