Atkin-Lehner |
2- 5+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
10030i |
Isogeny class |
Conductor |
10030 |
Conductor |
∏ cp |
46 |
Product of Tamagawa factors cp |
deg |
16928 |
Modular degree for the optimal curve |
Δ |
-210344345600 = -1 · 223 · 52 · 17 · 59 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 -4 3 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-341,-22341] |
[a1,a2,a3,a4,a6] |
Generators |
[39:140:1] |
Generators of the group modulo torsion |
j |
-4385977971409/210344345600 |
j-invariant |
L |
4.183544008239 |
L(r)(E,1)/r! |
Ω |
0.43817446240519 |
Real period |
R |
0.20755798586605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80240g1 90270k1 50150m1 |
Quadratic twists by: -4 -3 5 |