Atkin-Lehner |
2- 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560ds |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-7457495040000 = -1 · 214 · 39 · 54 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2268,-137808] |
[a1,a2,a3,a4,a6] |
Generators |
[93:675:1] |
Generators of the group modulo torsion |
j |
-4000752/23125 |
j-invariant |
L |
3.9965314869044 |
L(r)(E,1)/r! |
Ω |
0.31002210338643 |
Real period |
R |
3.2227794892046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999572857 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106560l1 26640c1 106560eb1 |
Quadratic twists by: -4 8 -3 |