Atkin-Lehner |
2+ 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680o |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
1.0928140054418E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56377441,-154955870495] |
[a1,a2,a3,a4,a6] |
Generators |
[17648:2084775:1] |
Generators of the group modulo torsion |
j |
75596184328076883820441/4168754598395480625 |
j-invariant |
L |
3.9822749622559 |
L(r)(E,1)/r! |
Ω |
0.055285740728008 |
Real period |
R |
3.0012824877137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998770597 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127680ew2 1995g2 |
Quadratic twists by: -4 8 |