Atkin-Lehner |
3+ 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
101475a |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-3348675 = -1 · 33 · 52 · 112 · 41 |
Discriminant |
Eigenvalues |
0 3+ 5+ 0 11+ 0 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,30,61] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:5:1] |
Generators of the group modulo torsion |
j |
4423680/4961 |
j-invariant |
L |
4.4991769144278 |
L(r)(E,1)/r! |
Ω |
1.6703810679233 |
Real period |
R |
0.67337582537359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999849365 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101475k1 101475q1 |
Quadratic twists by: -3 5 |