Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
55272bm |
Isogeny class |
Conductor |
55272 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-1820338575326208 = -1 · 210 · 38 · 78 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 6 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,27032,1143680] |
[a1,a2,a3,a4,a6] |
Generators |
[632:16464:1] |
Generators of the group modulo torsion |
j |
18132345500/15109983 |
j-invariant |
L |
8.1264319680267 |
L(r)(E,1)/r! |
Ω |
0.30404788075894 |
Real period |
R |
1.6704671538271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000061 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110544h1 7896g1 |
Quadratic twists by: -4 -7 |