Atkin-Lehner |
2- 3+ 23+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
55476a |
Isogeny class |
Conductor |
55476 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
10651392 = 28 · 33 · 23 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -4 -2 -1 -2 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-87,270] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-6:1] [-6:24:1] |
Generators of the group modulo torsion |
j |
10536048/1541 |
j-invariant |
L |
7.091975284448 |
L(r)(E,1)/r! |
Ω |
2.1880388337084 |
Real period |
R |
0.54020790789113 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55476b1 |
Quadratic twists by: -3 |