Atkin-Lehner |
2+ 5- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
52520g |
Isogeny class |
Conductor |
52520 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
7211652500000000 = 28 · 510 · 134 · 101 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-176580,28207600] |
[a1,a2,a3,a4,a6] |
Generators |
[140:2500:1] |
Generators of the group modulo torsion |
j |
2378541557462656336/28170517578125 |
j-invariant |
L |
4.2516728682049 |
L(r)(E,1)/r! |
Ω |
0.42044634308101 |
Real period |
R |
1.0112284095552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000079 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105040h2 |
Quadratic twists by: -4 |