Atkin-Lehner |
2+ 5+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
23650h |
Isogeny class |
Conductor |
23650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-1986230468750 = -1 · 2 · 511 · 11 · 432 |
Discriminant |
Eigenvalues |
2+ -1 5+ -5 11- -4 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8250,-299750] |
[a1,a2,a3,a4,a6] |
Generators |
[115:480:1] |
Generators of the group modulo torsion |
j |
-3975097468321/127118750 |
j-invariant |
L |
1.6349086072218 |
L(r)(E,1)/r! |
Ω |
0.24999556134726 |
Real period |
R |
1.6349376349034 |
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 |
4730h1 |
Quadratic twists by: 5 |