Atkin-Lehner |
2+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
41552f |
Isogeny class |
Conductor |
41552 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
291840 |
Modular degree for the optimal curve |
Δ |
-88166904548274944 = -1 · 28 · 77 · 535 |
Discriminant |
Eigenvalues |
2+ 0 3 7- -1 -2 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11956,-14294868] |
[a1,a2,a3,a4,a6] |
j |
-6275570688/2927368451 |
j-invariant |
L |
2.7479749425677 |
L(r)(E,1)/r! |
Ω |
0.15266527458929 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20776l1 5936c1 |
Quadratic twists by: -4 -7 |