Atkin-Lehner |
3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
7245u |
Isogeny class |
Conductor |
7245 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-3881979675 = -1 · 39 · 52 · 73 · 23 |
Discriminant |
Eigenvalues |
0 3- 5- 7- -3 -4 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-192,-3168] |
[a1,a2,a3,a4,a6] |
Generators |
[62:472:1] |
Generators of the group modulo torsion |
j |
-1073741824/5325075 |
j-invariant |
L |
3.5829823741347 |
L(r)(E,1)/r! |
Ω |
0.57917248291445 |
Real period |
R |
0.25776592752537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115920ec1 2415d1 36225be1 50715y1 |
Quadratic twists by: -4 -3 5 -7 |