Atkin-Lehner |
7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
77077a |
Isogeny class |
Conductor |
77077 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
Δ |
-266901944085613837 = -1 · 74 · 116 · 137 |
Discriminant |
Eigenvalues |
-1 0 0 7+ 11- 13- -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,75965,23494496] |
[a1,a2,a3,a4,a6] |
Generators |
[254:7562:1] |
Generators of the group modulo torsion |
j |
11397810375/62748517 |
j-invariant |
L |
3.0556107229572 |
L(r)(E,1)/r! |
Ω |
0.22368208895504 |
Real period |
R |
0.650500329203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001354 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77077n2 637a2 |
Quadratic twists by: -7 -11 |