Atkin-Lehner |
2+ 3+ 7- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
20202c |
Isogeny class |
Conductor |
20202 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-986965475101901568 = -1 · 28 · 35 · 74 · 136 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -6 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,248794,-1679724] |
[a1,a2,a3,a4,a6] |
Generators |
[460:14274:1] |
Generators of the group modulo torsion |
j |
1703102130725171652503/986965475101901568 |
j-invariant |
L |
2.0533205099282 |
L(r)(E,1)/r! |
Ω |
0.16520077868021 |
Real period |
R |
1.5536552901961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60606bh2 |
Quadratic twists by: -3 |