Atkin-Lehner |
2+ 3- 5- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
77910y |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
deg |
953856 |
Modular degree for the optimal curve |
Δ |
-46383718500000000 = -1 · 28 · 36 · 59 · 74 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -6 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,72837,-7073594] |
[a1,a2,a3,a4,a6] |
Generators |
[95:792:1] |
Generators of the group modulo torsion |
j |
17799027444770999/19318500000000 |
j-invariant |
L |
5.0443580544033 |
L(r)(E,1)/r! |
Ω |
0.1938955952031 |
Real period |
R |
0.72266240466412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988227 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
77910j1 |
Quadratic twists by: -7 |