Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21312bo |
Isogeny class |
Conductor |
21312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
322163785728 = 214 · 312 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 0 0 6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6780,-213136] |
[a1,a2,a3,a4,a6] |
Generators |
[14345:90153:125] |
Generators of the group modulo torsion |
j |
2885794000/26973 |
j-invariant |
L |
5.8551976063526 |
L(r)(E,1)/r! |
Ω |
0.5264257706032 |
Real period |
R |
5.5612756188241 |
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 |
21312i2 5328d2 7104l2 |
Quadratic twists by: -4 8 -3 |