Atkin-Lehner |
3- 5- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
23205m |
Isogeny class |
Conductor |
23205 |
Conductor |
∏ cp |
1152 |
Product of Tamagawa factors cp |
Δ |
5743194875388140625 = 312 · 56 · 72 · 132 · 174 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ -4 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2765865,1766505600] |
[a1,a2,a3,a4,a6] |
Generators |
[-1605:46320:1] |
Generators of the group modulo torsion |
j |
2340004313365309600223761/5743194875388140625 |
j-invariant |
L |
3.9327086373206 |
L(r)(E,1)/r! |
Ω |
0.2406843975776 |
Real period |
R |
0.90776060011964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
69615i2 116025i2 |
Quadratic twists by: -3 5 |