Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24990s |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-229638788977500 = -1 · 22 · 38 · 54 · 77 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-66029,6565556] |
[a1,a2,a3,a4,a6] |
Generators |
[228:-1952:1] |
Generators of the group modulo torsion |
j |
-270601485933241/1951897500 |
j-invariant |
L |
4.2330875894059 |
L(r)(E,1)/r! |
Ω |
0.56121936738663 |
Real period |
R |
0.23570816485704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74970dx1 124950fp1 3570h1 |
Quadratic twists by: -3 5 -7 |