Atkin-Lehner |
2- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
2150n |
Isogeny class |
Conductor |
2150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-18035507200 = -1 · 224 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 -5 -7 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-40973,3175171] |
[a1,a2,a3,a4,a6] |
Generators |
[119:-12:1] |
Generators of the group modulo torsion |
j |
-304282977309754105/721420288 |
j-invariant |
L |
5.0853635949674 |
L(r)(E,1)/r! |
Ω |
1.0606557634587 |
Real period |
R |
0.19977277934112 |
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 |
17200q1 68800u1 19350bb1 2150g1 |
Quadratic twists by: -4 8 -3 5 |