Atkin-Lehner |
2+ 3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
37224f |
Isogeny class |
Conductor |
37224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
31261012992 = 210 · 310 · 11 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-99291,-12042394] |
[a1,a2,a3,a4,a6] |
Generators |
[56630:749574:125] |
Generators of the group modulo torsion |
j |
145019325614692/41877 |
j-invariant |
L |
4.0209271432088 |
L(r)(E,1)/r! |
Ω |
0.26895033590804 |
Real period |
R |
7.4752223856383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74448g4 12408c3 |
Quadratic twists by: -4 -3 |