Atkin-Lehner |
3- 7- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
101283q |
Isogeny class |
Conductor |
101283 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
66528 |
Modular degree for the optimal curve |
Δ |
12478166883 = 37 · 72 · 133 · 53 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 4 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1387,-19258] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:38:1] |
Generators of the group modulo torsion |
j |
6022496898817/254656467 |
j-invariant |
L |
6.3643695461515 |
L(r)(E,1)/r! |
Ω |
0.78435266062352 |
Real period |
R |
1.1591669042377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044046 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101283a1 |
Quadratic twists by: -7 |