Atkin-Lehner |
2+ 3+ 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12210b |
Isogeny class |
Conductor |
12210 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
11565312000000 = 214 · 3 · 56 · 11 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11+ 6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9163,291517] |
[a1,a2,a3,a4,a6] |
Generators |
[371:6752:1] |
Generators of the group modulo torsion |
j |
85096329293877049/11565312000000 |
j-invariant |
L |
2.3999886037813 |
L(r)(E,1)/r! |
Ω |
0.68897014001265 |
Real period |
R |
1.7417217847331 |
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 |
97680ck1 36630bn1 61050cd1 |
Quadratic twists by: -4 -3 5 |