Atkin-Lehner |
2+ 3+ 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
78960b |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
338175810000 = 24 · 37 · 54 · 7 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 6 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4711,-119714] |
[a1,a2,a3,a4,a6] |
Generators |
[311146:-4513500:1331] |
Generators of the group modulo torsion |
j |
722828430874624/21135988125 |
j-invariant |
L |
5.0774193186672 |
L(r)(E,1)/r! |
Ω |
0.57728470248343 |
Real period |
R |
8.7953470721215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001771 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39480bb1 |
Quadratic twists by: -4 |