Atkin-Lehner |
3- 5- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
35955h |
Isogeny class |
Conductor |
35955 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7199119720458984375 = 310 · 516 · 17 · 47 |
Discriminant |
Eigenvalues |
1 3- 5- 0 0 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3179754,2179394185] |
[a1,a2,a3,a4,a6] |
Generators |
[5518:138991:8] |
Generators of the group modulo torsion |
j |
4877270329033471236769/9875335693359375 |
j-invariant |
L |
7.7253128740151 |
L(r)(E,1)/r! |
Ω |
0.23590041383145 |
Real period |
R |
2.0467622196327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11985c3 |
Quadratic twists by: -3 |