Atkin-Lehner |
7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
77077u |
Isogeny class |
Conductor |
77077 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-218928200491 = -1 · 77 · 112 · 133 |
Discriminant |
Eigenvalues |
0 0 1 7- 11- 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1078,-17922] |
[a1,a2,a3,a4,a6] |
Generators |
[42:-319:1] [322:5806:1] |
Generators of the group modulo torsion |
j |
9732096/15379 |
j-invariant |
L |
9.3067694599438 |
L(r)(E,1)/r! |
Ω |
0.52605511180657 |
Real period |
R |
1.4743020346317 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999631 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11011j1 77077h1 |
Quadratic twists by: -7 -11 |