Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
109368bb |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-15702235709437872 = -1 · 24 · 311 · 78 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- -6 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3822,6028225] |
[a1,a2,a3,a4,a6] |
j |
4499456/11442627 |
j-invariant |
L |
2.4649592769604 |
L(r)(E,1)/r! |
Ω |
0.30811993474804 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36456be1 15624h1 |
Quadratic twists by: -3 -7 |