Atkin-Lehner |
2+ 5+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
77350a |
Isogeny class |
Conductor |
77350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-49271950 = -1 · 2 · 52 · 73 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 3 13+ 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,28,326] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:9:1] |
Generators of the group modulo torsion |
j |
95170815/1970878 |
j-invariant |
L |
3.3540660793579 |
L(r)(E,1)/r! |
Ω |
1.5004570010622 |
Real period |
R |
1.1176815049417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003765 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77350bp1 |
Quadratic twists by: 5 |