Atkin-Lehner |
2+ 3+ 7+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
29526a |
Isogeny class |
Conductor |
29526 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-107854630326632448 = -1 · 232 · 36 · 72 · 19 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 4 -6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-142240,25940992] |
[a1,a2,a3,a4,a6] |
Generators |
[399:5537:1] |
Generators of the group modulo torsion |
j |
-318268541330445903625/107854630326632448 |
j-invariant |
L |
3.2803579763239 |
L(r)(E,1)/r! |
Ω |
0.31544089892422 |
Real period |
R |
5.1996395957392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88578bd1 |
Quadratic twists by: -3 |