Atkin-Lehner |
3+ 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
101475g |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
39979564453125 = 33 · 59 · 11 · 413 |
Discriminant |
Eigenvalues |
0 3+ 5+ -2 11+ -2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-8550,7156] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:512:1] [-20:412:1] |
Generators of the group modulo torsion |
j |
163846914048/94766375 |
j-invariant |
L |
8.8061690921577 |
L(r)(E,1)/r! |
Ω |
0.54706980752814 |
Real period |
R |
1.3414145951985 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991248 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101475i2 20295f1 |
Quadratic twists by: -3 5 |