Atkin-Lehner |
2+ 3- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
77376r |
Isogeny class |
Conductor |
77376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
-48282624 = -1 · 210 · 32 · 132 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 4 13+ -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-209,1143] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:39:1] |
Generators of the group modulo torsion |
j |
-990692608/47151 |
j-invariant |
L |
10.485678816573 |
L(r)(E,1)/r! |
Ω |
1.98952254845 |
Real period |
R |
1.3176124622348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001558 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77376z1 9672h1 |
Quadratic twists by: -4 8 |