Atkin-Lehner |
2+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56056g |
Isogeny class |
Conductor |
56056 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
136192 |
Modular degree for the optimal curve |
Δ |
-211248872843008 = -1 · 28 · 79 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,14292,-233024] |
[a1,a2,a3,a4,a6] |
Generators |
[115:1716:1] |
Generators of the group modulo torsion |
j |
31250000/20449 |
j-invariant |
L |
3.5857343388724 |
L(r)(E,1)/r! |
Ω |
0.32077894440101 |
Real period |
R |
2.7945524491482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000079 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112112e1 56056i1 |
Quadratic twists by: -4 -7 |