Atkin-Lehner |
2+ 3- 13- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
115362g |
Isogeny class |
Conductor |
115362 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
89411946127036416 = 212 · 312 · 132 · 172 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 0 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33224256,-73702473728] |
[a1,a2,a3,a4,a6] |
Generators |
[-240754399682608966336:117674262589171349888:72349595530890769] |
Generators of the group modulo torsion |
j |
5563677966869934083367937/122650131861504 |
j-invariant |
L |
6.8323143752466 |
L(r)(E,1)/r! |
Ω |
0.062883359933617 |
Real period |
R |
27.162648174233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000069793 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38454i2 |
Quadratic twists by: -3 |