Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56400cp |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
1245876000000 = 28 · 3 · 56 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12933,559263] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:606:1] |
Generators of the group modulo torsion |
j |
59812937728/311469 |
j-invariant |
L |
7.8919021478774 |
L(r)(E,1)/r! |
Ω |
0.86679616343153 |
Real period |
R |
4.5523402621577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000166 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14100d2 2256k2 |
Quadratic twists by: -4 5 |