Atkin-Lehner |
2+ 3+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
94656c |
Isogeny class |
Conductor |
94656 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
544768 |
Modular degree for the optimal curve |
Δ |
-4996782654274368 = -1 · 26 · 38 · 177 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -2 3 0 1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,32556,-2551482] |
[a1,a2,a3,a4,a6] |
Generators |
[2256177:93363678:1331] |
Generators of the group modulo torsion |
j |
59624330780157632/78074728973037 |
j-invariant |
L |
4.6503232277501 |
L(r)(E,1)/r! |
Ω |
0.23049092218922 |
Real period |
R |
10.087866303226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028914 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94656t1 47328u1 |
Quadratic twists by: -4 8 |