Atkin-Lehner |
2+ 3+ 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
63024c |
Isogeny class |
Conductor |
63024 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
15888098304 = 210 · 32 · 132 · 1012 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3504,80784] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:390:1] [-16:364:1] |
Generators of the group modulo torsion |
j |
4647720302788/15515721 |
j-invariant |
L |
7.5005622948474 |
L(r)(E,1)/r! |
Ω |
1.2453345044259 |
Real period |
R |
3.0114648988646 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31512e2 |
Quadratic twists by: -4 |