Atkin-Lehner |
7- 31+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
101773d |
Isogeny class |
Conductor |
101773 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-1710498811 = -1 · 77 · 31 · 67 |
Discriminant |
Eigenvalues |
-1 -2 1 7- -3 0 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-540,5179] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-30:1] |
Generators of the group modulo torsion |
j |
-148035889/14539 |
j-invariant |
L |
2.1464203660587 |
L(r)(E,1)/r! |
Ω |
1.4573325208577 |
Real period |
R |
0.36821046862924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019773 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14539f1 |
Quadratic twists by: -7 |