Atkin-Lehner |
2- 3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
77910ch |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
55089695082618000 = 24 · 35 · 53 · 79 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-192816,30553200] |
[a1,a2,a3,a4,a6] |
Generators |
[-486:3330:1] |
Generators of the group modulo torsion |
j |
19645844404087/1365174000 |
j-invariant |
L |
12.856182139644 |
L(r)(E,1)/r! |
Ω |
0.34671729216402 |
Real period |
R |
1.8539862927496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976795 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77910bz1 |
Quadratic twists by: -7 |