Atkin-Lehner |
2- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56056m |
Isogeny class |
Conductor |
56056 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1387680 |
Modular degree for the optimal curve |
Δ |
-63664957584820592 = -1 · 24 · 78 · 11 · 137 |
Discriminant |
Eigenvalues |
2- -3 4 7+ 11- 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20237,12089035] |
[a1,a2,a3,a4,a6] |
Generators |
[245:5635:1] |
Generators of the group modulo torsion |
j |
9937057536/690233687 |
j-invariant |
L |
5.1235453585979 |
L(r)(E,1)/r! |
Ω |
0.26659066377657 |
Real period |
R |
3.2031287752986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000753 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112112a1 56056w1 |
Quadratic twists by: -4 -7 |