Atkin-Lehner |
2- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
77924m |
Isogeny class |
Conductor |
77924 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
491904 |
Modular degree for the optimal curve |
Δ |
8121026224562944 = 28 · 7 · 113 · 237 |
Discriminant |
Eigenvalues |
2- 1 1 7- 11+ -7 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-170980,26807812] |
[a1,a2,a3,a4,a6] |
Generators |
[216:22:1] |
Generators of the group modulo torsion |
j |
1622348567321456/23833778129 |
j-invariant |
L |
7.5856120784623 |
L(r)(E,1)/r! |
Ω |
0.4157831218563 |
Real period |
R |
3.0406926423006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002551 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77924a1 |
Quadratic twists by: -11 |