Atkin-Lehner |
3+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12321a |
Isogeny class |
Conductor |
12321 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
94836945255867 = 33 · 378 |
Discriminant |
Eigenvalues |
1 3+ -2 -4 -4 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18738,-864331] |
[a1,a2,a3,a4,a6] |
Generators |
[-92:319:1] |
Generators of the group modulo torsion |
j |
10503459/1369 |
j-invariant |
L |
3.382948261452 |
L(r)(E,1)/r! |
Ω |
0.41156178045418 |
Real period |
R |
4.109891178086 |
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 |
12321b2 333c2 |
Quadratic twists by: -3 37 |