Atkin-Lehner |
2+ 3+ 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
49770c |
Isogeny class |
Conductor |
49770 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
499200 |
Modular degree for the optimal curve |
Δ |
11947045622400000 = 210 · 39 · 55 · 74 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 4 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-124755,16155701] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:4845:1] |
Generators of the group modulo torsion |
j |
10909585730090403/606972800000 |
j-invariant |
L |
4.3786364485508 |
L(r)(E,1)/r! |
Ω |
0.39571204296129 |
Real period |
R |
2.7663022432525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000108 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49770bf1 |
Quadratic twists by: -3 |