Atkin-Lehner |
2+ 3- 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
12210n |
Isogeny class |
Conductor |
12210 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
464175360 = 28 · 34 · 5 · 112 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ 6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-254,1136] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:52:1] |
Generators of the group modulo torsion |
j |
1802041022809/464175360 |
j-invariant |
L |
4.3961684270863 |
L(r)(E,1)/r! |
Ω |
1.5582040345284 |
Real period |
R |
0.70532618477285 |
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 |
97680bf1 36630br1 61050bm1 |
Quadratic twists by: -4 -3 5 |