Atkin-Lehner |
7- 37- 43- |
Signs for the Atkin-Lehner involutions |
Class |
77959f |
Isogeny class |
Conductor |
77959 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
747081097 = 73 · 373 · 43 |
Discriminant |
Eigenvalues |
-1 -1 -4 7- -1 -5 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-260,-1044] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:21:1] [-8:28:1] |
Generators of the group modulo torsion |
j |
5668315687/2178079 |
j-invariant |
L |
3.3531537048277 |
L(r)(E,1)/r! |
Ω |
1.2281771423687 |
Real period |
R |
0.45503122594393 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000649 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77959e1 |
Quadratic twists by: -7 |