Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69600bl |
Isogeny class |
Conductor |
69600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
123294312000000 = 29 · 312 · 56 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13808,318888] |
[a1,a2,a3,a4,a6] |
Generators |
[-122:450:1] |
Generators of the group modulo torsion |
j |
36396323144/15411789 |
j-invariant |
L |
6.9199321919445 |
L(r)(E,1)/r! |
Ω |
0.53115316744827 |
Real period |
R |
1.0856774492118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000336 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69600ba3 2784a3 |
Quadratic twists by: -4 5 |