Atkin-Lehner |
2+ 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
29890g |
Isogeny class |
Conductor |
29890 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-28706356000 = -1 · 25 · 53 · 76 · 61 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 2 -1 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1724,29168] |
[a1,a2,a3,a4,a6] |
Generators |
[37:104:1] |
Generators of the group modulo torsion |
j |
-4818245769/244000 |
j-invariant |
L |
3.9604038812548 |
L(r)(E,1)/r! |
Ω |
1.16714329697 |
Real period |
R |
0.56554093679504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
610a1 |
Quadratic twists by: -7 |