Atkin-Lehner |
2+ 3- 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
12210n |
Isogeny class |
Conductor |
12210 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-39520839600 = -1 · 24 · 38 · 52 · 11 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ 6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,626,7472] |
[a1,a2,a3,a4,a6] |
Generators |
[1:89:1] |
Generators of the group modulo torsion |
j |
27192154047911/39520839600 |
j-invariant |
L |
4.3961684270863 |
L(r)(E,1)/r! |
Ω |
0.7791020172642 |
Real period |
R |
0.35266309238643 |
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 |
97680bf2 36630br2 61050bm2 |
Quadratic twists by: -4 -3 5 |