Atkin-Lehner |
2+ 3+ 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
56550h |
Isogeny class |
Conductor |
56550 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
332581860000000 = 28 · 32 · 57 · 133 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -4 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-47625,-3922875] |
[a1,a2,a3,a4,a6] |
Generators |
[-139:258:1] [-135:330:1] |
Generators of the group modulo torsion |
j |
764579942079121/21285239040 |
j-invariant |
L |
5.4002829673864 |
L(r)(E,1)/r! |
Ω |
0.32372644352463 |
Real period |
R |
1.3901353739151 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11310m1 |
Quadratic twists by: 5 |