Atkin-Lehner |
2+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
56056d |
Isogeny class |
Conductor |
56056 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11232 |
Modular degree for the optimal curve |
Δ |
-18946928 = -1 · 24 · 72 · 11 · 133 |
Discriminant |
Eigenvalues |
2+ -1 -2 7- 11+ 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44,253] |
[a1,a2,a3,a4,a6] |
Generators |
[6:13:1] |
Generators of the group modulo torsion |
j |
-12291328/24167 |
j-invariant |
L |
2.40397485498 |
L(r)(E,1)/r! |
Ω |
1.9362038508724 |
Real period |
R |
0.20693196929675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000225 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112112s1 56056a1 |
Quadratic twists by: -4 -7 |