Atkin-Lehner |
2+ 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650b |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2189046228960937500 = 22 · 39 · 59 · 76 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1746942,-885429784] |
[a1,a2,a3,a4,a6] |
Generators |
[-796:948:1] [-761:2068:1] |
Generators of the group modulo torsion |
j |
1917114236485083/7117764500 |
j-invariant |
L |
6.473412118769 |
L(r)(E,1)/r! |
Ω |
0.13134903765612 |
Real period |
R |
3.0802529248994 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34650ck2 6930t4 |
Quadratic twists by: -3 5 |