Atkin-Lehner |
2+ 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
37520c |
Isogeny class |
Conductor |
37520 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
13520034841600 = 210 · 52 · 76 · 672 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -4 -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38323,2882178] |
[a1,a2,a3,a4,a6] |
Generators |
[19:1470:1] |
Generators of the group modulo torsion |
j |
6078581626060836/13203159025 |
j-invariant |
L |
3.972563983814 |
L(r)(E,1)/r! |
Ω |
0.70815671735905 |
Real period |
R |
0.93495405899853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18760c2 |
Quadratic twists by: -4 |