Atkin-Lehner |
2+ 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
62304o |
Isogeny class |
Conductor |
62304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-646964736 = -1 · 29 · 3 · 112 · 592 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11- 2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-184,1496] |
[a1,a2,a3,a4,a6] |
j |
-1352899016/1263603 |
j-invariant |
L |
2.9558859161331 |
L(r)(E,1)/r! |
Ω |
1.4779429572183 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62304b2 124608bz2 |
Quadratic twists by: -4 8 |