Atkin-Lehner |
2- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115150by |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
161210000000000 = 210 · 510 · 73 · 47 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 0 -2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-108963,13785281] |
[a1,a2,a3,a4,a6] |
Generators |
[105:1822:1] |
Generators of the group modulo torsion |
j |
26696047767103/30080000 |
j-invariant |
L |
15.513916388026 |
L(r)(E,1)/r! |
Ω |
0.57279824722399 |
Real period |
R |
1.3542217057158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000188 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23030h1 115150cp1 |
Quadratic twists by: 5 -7 |