Atkin-Lehner |
3- 5- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
101745bn |
Isogeny class |
Conductor |
101745 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
5931112497802734375 = 37 · 512 · 7 · 174 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -4 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-865832,287324556] |
[a1,a2,a3,a4,a6] |
Generators |
[-534:24704:1] [-24:17564:1] |
Generators of the group modulo torsion |
j |
98468338905918967609/8135956787109375 |
j-invariant |
L |
7.9453131786089 |
L(r)(E,1)/r! |
Ω |
0.23377996011627 |
Real period |
R |
1.4160953555699 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000888 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33915c3 |
Quadratic twists by: -3 |