Atkin-Lehner |
2+ 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
49610o |
Isogeny class |
Conductor |
49610 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
348806486034248000 = 26 · 53 · 1110 · 412 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 11- 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5175173,-4531773072] |
[a1,a2,a3,a4,a6] |
j |
8652509753714779681/196892168000 |
j-invariant |
L |
1.2011581314452 |
L(r)(E,1)/r! |
Ω |
0.10009651095249 |
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 |
4510g2 |
Quadratic twists by: -11 |