Atkin-Lehner |
3- 7+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
56763i |
Isogeny class |
Conductor |
56763 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
132000 |
Modular degree for the optimal curve |
Δ |
384013104363 = 36 · 7 · 175 · 53 |
Discriminant |
Eigenvalues |
-1 3- 0 7+ 5 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-68765,-6923334] |
[a1,a2,a3,a4,a6] |
Generators |
[122754:42946812:1] |
Generators of the group modulo torsion |
j |
49327897490943625/526766947 |
j-invariant |
L |
3.4550572783234 |
L(r)(E,1)/r! |
Ω |
0.29482103366252 |
Real period |
R |
11.719168186086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000106 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6307d1 |
Quadratic twists by: -3 |