Atkin-Lehner |
2- 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
56400bt |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
101520000000000 = 213 · 33 · 510 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -4 1 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-75208,7948912] |
[a1,a2,a3,a4,a6] |
Generators |
[153:16:1] |
Generators of the group modulo torsion |
j |
1176147025/2538 |
j-invariant |
L |
5.1283982021926 |
L(r)(E,1)/r! |
Ω |
0.59861271906613 |
Real period |
R |
4.2835693584916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000395 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7050f1 56400dc1 |
Quadratic twists by: -4 5 |