Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712bb |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2097828664418893824 = 217 · 312 · 116 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11+ 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-457356,96523760] |
[a1,a2,a3,a4,a6] |
Generators |
[-440:14580:1] [77:7859:1] |
Generators of the group modulo torsion |
j |
110725946217794/21954955473 |
j-invariant |
L |
10.10478149038 |
L(r)(E,1)/r! |
Ω |
0.24750387233236 |
Real period |
R |
10.206690298798 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997841 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712eq2 13464i2 35904u2 |
Quadratic twists by: -4 8 -3 |