Atkin-Lehner |
2- 13- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
90896t |
Isogeny class |
Conductor |
90896 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
873625452544 = 215 · 132 · 193 · 23 |
Discriminant |
Eigenvalues |
2- -1 -3 -2 -3 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22672,-1305664] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:16:1] [-86:26:1] |
Generators of the group modulo torsion |
j |
314667882960913/213287464 |
j-invariant |
L |
6.4642809295279 |
L(r)(E,1)/r! |
Ω |
0.38908381910554 |
Real period |
R |
2.0767636084304 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000538 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11362l1 |
Quadratic twists by: -4 |