Atkin-Lehner |
2- 3- 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
76650cw |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-1854316800 = -1 · 28 · 34 · 52 · 72 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 -2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-938,11172] |
[a1,a2,a3,a4,a6] |
Generators |
[28:70:1] |
Generators of the group modulo torsion |
j |
-3651078375625/74172672 |
j-invariant |
L |
13.303440762691 |
L(r)(E,1)/r! |
Ω |
1.4836566586379 |
Real period |
R |
0.14010401981059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001113 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76650q1 |
Quadratic twists by: 5 |