Atkin-Lehner |
2- 3- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
101232bl |
Isogeny class |
Conductor |
101232 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1180770048 = 28 · 38 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 4 2 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33735,-2384894] |
[a1,a2,a3,a4,a6] |
Generators |
[177601012991310:3631288966278197:358213545208] |
Generators of the group modulo torsion |
j |
22750888498000/6327 |
j-invariant |
L |
8.5025508574755 |
L(r)(E,1)/r! |
Ω |
0.35227302059483 |
Real period |
R |
24.136253252258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021712 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25308e2 33744n2 |
Quadratic twists by: -4 -3 |