Atkin-Lehner |
2- 3- 11- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
105534bs |
Isogeny class |
Conductor |
105534 |
Conductor |
∏ cp |
352 |
Product of Tamagawa factors cp |
deg |
1419264 |
Modular degree for the optimal curve |
Δ |
-218296932542447616 = -1 · 222 · 39 · 112 · 13 · 412 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11- 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-243941,51596061] |
[a1,a2,a3,a4,a6] |
Generators |
[191:3360:1] [-433:8928:1] |
Generators of the group modulo torsion |
j |
-2202160224778971913/299447095394304 |
j-invariant |
L |
14.852527107387 |
L(r)(E,1)/r! |
Ω |
0.30527778355633 |
Real period |
R |
0.5528693086933 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985297 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35178b1 |
Quadratic twists by: -3 |