Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
57120bh |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-4516763503288135680 = -1 · 212 · 38 · 5 · 711 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,368339,55121701] |
[a1,a2,a3,a4,a6] |
Generators |
[551425:23763132:343] |
Generators of the group modulo torsion |
j |
1349291235048644096/1102725464669955 |
j-invariant |
L |
5.216769226606 |
L(r)(E,1)/r! |
Ω |
0.15816552152917 |
Real period |
R |
8.2457434086997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000144 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57120cd1 114240kc1 |
Quadratic twists by: -4 8 |