Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
22200q |
Isogeny class |
Conductor |
22200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4928400000000 = 210 · 32 · 58 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12408,-525312] |
[a1,a2,a3,a4,a6] |
Generators |
[61536:2934800:27] |
Generators of the group modulo torsion |
j |
13205172676/308025 |
j-invariant |
L |
6.620424666136 |
L(r)(E,1)/r! |
Ω |
0.45298956163177 |
Real period |
R |
7.3074803780111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
44400a2 66600j2 4440b2 |
Quadratic twists by: -4 -3 5 |