Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600dy |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-6678608345280000000 = -1 · 212 · 36 · 57 · 315 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 6 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3025200,-2029066000] |
[a1,a2,a3,a4,a6] |
Generators |
[1624939917622801875191065793719481743615:85685292289156003280414412476922643927025:434966995624837218830153998608248351] |
Generators of the group modulo torsion |
j |
-65626385453056/143145755 |
j-invariant |
L |
7.0463356545783 |
L(r)(E,1)/r! |
Ω |
0.057230069962066 |
Real period |
R |
61.561480348083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6975m2 12400n2 22320bg2 |
Quadratic twists by: -4 -3 5 |