Atkin-Lehner |
2+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
56056c |
Isogeny class |
Conductor |
56056 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
620032 |
Modular degree for the optimal curve |
Δ |
-666688435469056 = -1 · 28 · 73 · 112 · 137 |
Discriminant |
Eigenvalues |
2+ 0 1 7- 11+ 13- -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2098292,1169895972] |
[a1,a2,a3,a4,a6] |
Generators |
[842:-286:1] |
Generators of the group modulo torsion |
j |
-11635562981321229312/7592570557 |
j-invariant |
L |
5.5657742263696 |
L(r)(E,1)/r! |
Ω |
0.42224731082815 |
Real period |
R |
0.11769030011431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000326 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112112r1 56056b1 |
Quadratic twists by: -4 -7 |