Atkin-Lehner |
3- 5+ 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
23205i |
Isogeny class |
Conductor |
23205 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
-98843345055 = -1 · 32 · 5 · 7 · 13 · 176 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -2 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4904,132617] |
[a1,a2,a3,a4,a6] |
Generators |
[270:473:8] |
Generators of the group modulo torsion |
j |
-13039105118748409/98843345055 |
j-invariant |
L |
6.1709323567956 |
L(r)(E,1)/r! |
Ω |
1.070567175954 |
Real period |
R |
1.9213903606117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69615q1 116025n1 |
Quadratic twists by: -3 5 |