Atkin-Lehner |
7- 37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
77959b |
Isogeny class |
Conductor |
77959 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
-2853843066810127 = -1 · 77 · 374 · 432 |
Discriminant |
Eigenvalues |
1 0 0 7- 0 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-961487,363129752] |
[a1,a2,a3,a4,a6] |
Generators |
[25076:423611:64] |
Generators of the group modulo torsion |
j |
-835537557081389625/24257265823 |
j-invariant |
L |
7.3644903502274 |
L(r)(E,1)/r! |
Ω |
0.42111911161085 |
Real period |
R |
4.371975856137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999947658 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11137b1 |
Quadratic twists by: -7 |