Atkin-Lehner |
2- 3+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
77376bc |
Isogeny class |
Conductor |
77376 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23552 |
Modular degree for the optimal curve |
Δ |
232128 = 26 · 32 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 4 0 2 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-536,-4602] |
[a1,a2,a3,a4,a6] |
Generators |
[6546068790:-39055774933:132651000] |
Generators of the group modulo torsion |
j |
266592609856/3627 |
j-invariant |
L |
8.235228431563 |
L(r)(E,1)/r! |
Ω |
0.99206747582065 |
Real period |
R |
16.602153850312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999794 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77376bl1 38688f2 |
Quadratic twists by: -4 8 |