Atkin-Lehner |
7+ 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
58261a |
Isogeny class |
Conductor |
58261 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
105168 |
Modular degree for the optimal curve |
Δ |
281028283949 = 78 · 29 · 412 |
Discriminant |
Eigenvalues |
2 2 1 7+ -2 1 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-7660,259349] |
[a1,a2,a3,a4,a6] |
Generators |
[-1170330:19231613:27000] |
Generators of the group modulo torsion |
j |
8623476736/48749 |
j-invariant |
L |
18.962019233951 |
L(r)(E,1)/r! |
Ω |
0.98138617122999 |
Real period |
R |
9.6608347405477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000067 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58261i1 |
Quadratic twists by: -7 |