Atkin-Lehner |
2- 3+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
107736c |
Isogeny class |
Conductor |
107736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-7484639432724006912 = -1 · 211 · 32 · 678 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 4 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-109232,-132321588] |
[a1,a2,a3,a4,a6] |
Generators |
[6312511332542233917831852735:144672750103302510962348086302:7493568626494261057198375] |
Generators of the group modulo torsion |
j |
-778034/40401 |
j-invariant |
L |
8.0289512800009 |
L(r)(E,1)/r! |
Ω |
0.10301633453305 |
Real period |
R |
38.969311498315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025327 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1608b2 |
Quadratic twists by: -67 |