Atkin-Lehner |
2- 3+ 5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
38940h |
Isogeny class |
Conductor |
38940 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
24463354080000 = 28 · 3 · 54 · 114 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7620,97032] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:330:1] [-46:590:1] |
Generators of the group modulo torsion |
j |
191163799414096/95559976875 |
j-invariant |
L |
7.5262562184392 |
L(r)(E,1)/r! |
Ω |
0.59576716412542 |
Real period |
R |
0.52637007875701 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116820i2 |
Quadratic twists by: -3 |