Atkin-Lehner |
2- 3- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
120768dn |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-8374530998976 = -1 · 26 · 3 · 17 · 376 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 3 -5 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1837,141881] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:411:1] [4152:50653:27] |
Generators of the group modulo torsion |
j |
-10717848174592/130852046859 |
j-invariant |
L |
11.287305650896 |
L(r)(E,1)/r! |
Ω |
0.6247325105615 |
Real period |
R |
9.033710803921 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999915444 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120768j2 30192u2 |
Quadratic twists by: -4 8 |