Atkin-Lehner |
2+ 3- 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
12210o |
Isogeny class |
Conductor |
12210 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
12075812100000000 = 28 · 36 · 58 · 112 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11+ -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-990029,379038152] |
[a1,a2,a3,a4,a6] |
Generators |
[435:5326:1] |
Generators of the group modulo torsion |
j |
107316581498875757886409/12075812100000000 |
j-invariant |
L |
4.2039242118874 |
L(r)(E,1)/r! |
Ω |
0.38541696355143 |
Real period |
R |
1.8179117723786 |
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 |
97680bi2 36630bt2 61050bn2 |
Quadratic twists by: -4 -3 5 |