Atkin-Lehner |
2- 5- 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
124100f |
Isogeny class |
Conductor |
124100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
38106456250000 = 24 · 58 · 174 · 73 |
Discriminant |
Eigenvalues |
2- 1 5- 2 0 0 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11458,-370787] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:289:1] |
Generators of the group modulo torsion |
j |
26620000000/6097033 |
j-invariant |
L |
9.422030185635 |
L(r)(E,1)/r! |
Ω |
0.46904017036847 |
Real period |
R |
1.6739913321695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031842 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124100c1 |
Quadratic twists by: 5 |