Atkin-Lehner |
2+ 3+ 37+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
64824b |
Isogeny class |
Conductor |
64824 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
-10501488 = -1 · 24 · 35 · 37 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 1 -1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,52,45] |
[a1,a2,a3,a4,a6] |
j |
953312000/656343 |
j-invariant |
L |
2.8821772061506 |
L(r)(E,1)/r! |
Ω |
1.4410885988459 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129648g1 |
Quadratic twists by: -4 |