Atkin-Lehner |
2+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
64400a |
Isogeny class |
Conductor |
64400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-59248000000 = -1 · 210 · 56 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 0 4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1475,-24750] |
[a1,a2,a3,a4,a6] |
Generators |
[459:9798:1] |
Generators of the group modulo torsion |
j |
-22180932/3703 |
j-invariant |
L |
5.9795142107367 |
L(r)(E,1)/r! |
Ω |
0.38169762628673 |
Real period |
R |
3.9163946791696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000289 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32200w1 2576h1 |
Quadratic twists by: -4 5 |