Atkin-Lehner |
2- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115150bz |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
74086700351562500 = 22 · 510 · 79 · 47 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 2 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-431838,108259031] |
[a1,a2,a3,a4,a6] |
Generators |
[6717830790:-57803187029:22425768] |
Generators of the group modulo torsion |
j |
4844824797961/40302500 |
j-invariant |
L |
16.447226718697 |
L(r)(E,1)/r! |
Ω |
0.34669780652896 |
Real period |
R |
11.859915437945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028503 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23030i1 16450r1 |
Quadratic twists by: 5 -7 |