Atkin-Lehner |
2+ 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
124930c |
Isogeny class |
Conductor |
124930 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1505280 |
Modular degree for the optimal curve |
Δ |
-1904489179037286400 = -1 · 214 · 52 · 132 · 317 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 2 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-100124,67532368] |
[a1,a2,a3,a4,a6] |
Generators |
[2157:98339:1] |
Generators of the group modulo torsion |
j |
-125075015001/2145894400 |
j-invariant |
L |
5.0559076434162 |
L(r)(E,1)/r! |
Ω |
0.22199736808562 |
Real period |
R |
5.6936571966947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999873895 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4030a1 |
Quadratic twists by: -31 |