Atkin-Lehner |
2- 3+ 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12210t |
Isogeny class |
Conductor |
12210 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
93177562500 = 22 · 32 · 56 · 112 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3201,-69477] |
[a1,a2,a3,a4,a6] |
Generators |
[782:5611:8] |
Generators of the group modulo torsion |
j |
3627347927618449/93177562500 |
j-invariant |
L |
5.7350818985552 |
L(r)(E,1)/r! |
Ω |
0.6357083914125 |
Real period |
R |
4.5107803955617 |
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 |
97680bz2 36630n2 61050ba2 |
Quadratic twists by: -4 -3 5 |