Atkin-Lehner |
3+ 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
101475s |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
11036160 |
Modular degree for the optimal curve |
Δ |
-766061729296875 = -1 · 33 · 58 · 116 · 41 |
Discriminant |
Eigenvalues |
0 3+ 5- 4 11+ 4 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-309711000,-2097891673594] |
[a1,a2,a3,a4,a6] |
j |
-311508430491666937282560/72634001 |
j-invariant |
L |
3.4548693261755 |
L(r)(E,1)/r! |
Ω |
0.017994111257795 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101475y1 101475c1 |
Quadratic twists by: -3 5 |