Atkin-Lehner |
2- 3+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
77376bb |
Isogeny class |
Conductor |
77376 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-1463595127488 = -1 · 26 · 310 · 13 · 313 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 1 13+ 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1769,65463] |
[a1,a2,a3,a4,a6] |
Generators |
[386:7533:1] |
Generators of the group modulo torsion |
j |
-9571339399168/22868673867 |
j-invariant |
L |
4.3813548650408 |
L(r)(E,1)/r! |
Ω |
0.75339761774617 |
Real period |
R |
0.96924358868823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001461 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77376o1 19344t1 |
Quadratic twists by: -4 8 |